Miroslav Hušek |
Publication list
Research papers
S-categories , Comment. Math. Univ. Carolinae 5(1964), 37-46
Generalized proximity and uniform spaces I , Comment. Math. Univ. Carolinae 5(1964), 247-266
Generalized proximity and uniform spaces II , Comment. Math. Univ. Carolinae 6(1965), 119-139
Remarks on reflections , Comment. Math. Univ. Carolinae 7(1966), 249-259
Categorial methods in topology , Proc. 2nd Prague Top. Symp. 1966 (Academia,Prague,1967), 190-194
One more remark on reflections , Comment. Math. Univ. Carolinae 8(1967), 129-137
Construction of special functors and its applications , Comment. Math. Univ. Carolinae 8(1967), 555-566
Categorial connections between generalized proximity spaces and compactifications , Proc. Berlin Top. Symp. 1967 (Berlin,1969), 127-132
On a problem of Herrlich , Comment. Math. Univ. Carolinae 9(1968), 571-572
The class of k-compact spaces is simple , Math. Z. 110(1969), 123-126
Generalization of Kaplansky's and Shirota's theorems to k-compact spaces , Math. Z. 11(1969), 214-220
The Hewitt realcompactification of a product , Comment. Math. Univ. Carolinae 11(1970), 393-395
K-complete proximity spaces , Proc. Top. Symp. Herceg Novi 1968 (Beograd,1969), 193-194
Products of quotients and k'-spaces , Comment. Math. Univ. Carolinae 12(1971), 61-68
Topological spaces with complete uniformities , Reports of Math. Center, Amsterdam (1971), 16 pages
Perfect images of E-compact spaces , Bull. Acad. Polon. Sci. 20(1972), 41-45
Closed subsets of powers of natural numbers (with J. van der Slot) , Reports of Math. Center, Amsterdam (1971), 3 pages
Pseudo-m-compactness and υ(P x Q) , Indag. Math. 33(1971), 320-326
Realcompactness of function spaces and υ(P x Q) , Gen. Top. Appl. 2(1972), 165-179
Simple categories of topological spaces , Proc. 3rd Prague Top. Symp. 1971 (Academia, Prague 1972), 203-207
Products as reflections , Comment. Math. Univ. Carolinae 13(1972), 783-800
Hewitt realcompactification of products , Coll. Math. Soc. J. Bolyai 8(1972), 427-435
Continuous mappings on subspaces of products , Proc. Conf. Rings Cont. Functions, Roma 1973, Symp. Math. 17(1976), 25-41
Factorization of mappings (products of proximally fine spaces) , Seminar Uniform Spaces 1973/74, Prague 1975, 173-190
Reflective and coreflective subcategories of Unif (and Top) , Seminar Uniform Spaces 1973/74, Prague 1975, 113-126
Note about atom-categories of topological spaces (with J. Pelant) , Comment. Math. Univ. Carolinae 15(1974), 767-773
Lattices of reflections and coreflections in continuous structures , Proc. Conf. Categ. Top. Mannheim 1975, Lecture Notes in Math. 540(1976), 404-424
Decompositions of adjoint situations , 4th Winter School Top., Štefanová 1976, (Prague 1976), 11-13
Cones and proximally fine spaces , Seminar Uniform Spaces 1975/76, (Prague 1976), 135-138
Categorical aspects are useful in topology , Proc. 4th Prague Top. Symp. 1976, (Prague 1977), 170-172
Products of uniform spaces , Czech. Math. J. 29(1979), 130-141
Productivity of coreflective subcategories of uniform spaces (with M.D. Rice) , Gen. Top. Appl. 9(1978), 295-306
Topological spaces without Îş-accessible diagonal , Comment. Math. Univ. Carolinae 18(1977), 777-788
Použití kategorií ve spojitých strukturách (with V. Trnková) , Proc. Conf. 25th Anniv. Math. Phys. Fac. I(1979), 139-148
Products of uniform spaces (summary) , Seminar Uniform Spaces 1976/77, (Prague 1978), 101-103
Productivity of coreflective subcategories of Unif (summary) (with M.D. Rice) , Seminar Uniform Spaces 1976/7, (Prague 1978), 105-109
Special classes of compact spaces , Categ. Top. Proc., Berlin 1978, Lect. Notes in Math. 719(1979), 167-175
Convergence versus character in compact spaces , Topology Vol. I., 4th Colloq. Budapest 1978 Math. Soc. J. Bolyai 23(1980), 647-651
Some very small comtinua (with J.van Mill, C. Mills) , Top. Structure II, Math. Centre Tracts 115(1979), 147-151
Mappings from products , Top. Structure II, Math. Centre Tracts 115(1979), 131-145
Linearly uniformizable spaces , Rapport 119, Wiskunding Sem. Vrije Univ. Amsterdam (1980), 19 pp.
Omitting cardinals by topological spaces , Rapport 130, Wiskunding Sem. Vrije Univ. Amsterdam (1980), 11 pp.
Categories of orderable spaces , Proc. Conf. Categ. Topology, Ottawa 1980, Lect. Notes in Math. 915(1982), 205-215
Topological characterizations of linearly uniformizable spaces (with H.C. Reichel) , Gen. Top. Appl. 15(1983), 173-188
Open images of orderable spaces (with W. Kulpa) , Proc. Amer. Math. Soc. 88(1983), 711-715
Reflective subcategories of convergence spaces (with R. Frič) , 8th Winter School Abstract Analysis 1980, 68-72
Projectively generated convergence of sequences (with R. Frič) , Czech. Math. J. 33(1983), 525-536
Omitting cardinal functions by topological spaces , Proc. 5th Prague Top. Symp. 1981 (Heldermann 1982), 387-394
Remark on cartesian closed categories (with H. Brandenburg) , Proc. Conf. Categ. Th., Gummersbach 1981, Lect. Notes in Math. 962(1982), 33-38
Applications of categories in uniform spaces , Proc. Conf. Categ. Th., Gummersbach 1981, Lect. Notes in Math. 962(1982), 138-144
Uniform spaces (selected topics) (with Z. Frolík, J. Pelant, V. Rédl, J. Vilímovský) , Prov. 5th Prague Top. Symp. 1981, (Heldermann 1982), 206-214
On linearly uniformizable spaces (with H.C. Reichel) , Prov. 5th Prague Top. Symp. 1981, (Heldermann 1982), 395-400
Uniform weight of uniform quotients (with J. Pelant) , Comment. Math. Univ. Carolinae 24(1983), 335-340
Sequential uniform spaces , Proc. Conf. Seq. Struct. 1984, (Ak. Verlag Berlin 1985), 177-188
Extensions and restrictions in products of metric spaces (with J. Pelant) , Top. Appl. 25(1987), 245-252
On mappings from products into developable spaces (with H. Brandenburg) , Top. Appl. 26(1987), 229-238
A diagonal theorem for epireflective subcategories and co-well-poweredness (with E. Giuli) , Annali Mat. Pura Appl. 65(1986), 337-346
Preservation of products by functors close to reflectors (with J. de Vries) , Top. Appl. 27(1987), 171-189
Galois connections (with H.Herrlich) , Lect. Notes in Comp. Sci. 239(1986), 122-134
Compactifications of products of semigroup (with J.de Vries) , Semigroup Forum 38(1989), 85-89
Non-constant continuous maps of modifications of topological spaces (with V. Trnková) , Comment. Math. Univ. Carolinae 29(1988), 747-765
To-separation (with D. Pumplun) , Berichte der Fernanuniversitaet Hagen 31(1988), 45-78
Categories and mathematical morphology , Lect. Notes in Comp. Sci., 393(Springer-Verlag 1989), 294-301
Productivity of properties of topological groups , Top. Appl. 44(1992), 189-196
Disconnectedness (with D. Pumplun) , Quaest. Math. 13(1990), 449-459
Sequential groups, k-groups and other categories of continuous algebras (with R. Frič and V. Koutník) , Coll. Math. Soc. J. Bolyai 55(1992), 223--232
Galois connections categorically (with H. Herrlich) , J. Pure and Appl. Algebra 68(1990), 165-180
Topological problems that I met , Report of Vrije Univ. Amsterdam, WS-378, March 1991, 11pp.
ÄŚech-Stone-like compactifications for general topological spaces , Comment. Math. Univ. Carolinae 33(1992), 159-163
Categorical topology (with H. Herrlich) , Recent Progress in General Topology (North Holland, Amsterdam, 1992), 369-403
History and development of Hausdorff's work in extension in metric spaces , Recent Development of General Topology and its Applications, Math. Research 67 (Ak. Verlag Berlin 1992), 160-169
Reflection and its generalizations from subcategorial and functorial points of view , Seminarberichte der Fernuniv. Hagen 44(1992), 150--157
Some open categorical problems in Top (with H. Herrlich) , Appl. Categ. Structures 1(1993), 1--19
Note on separation in categories (with D. Pumplun) , Quaest. Math. 17(1994), 37--57
Introduction to categorial shape theory, with applications in mathematical morphology , Shape in Picture, Series Comp. and Systems Sci., vol. 126, Springer-Verlag (Berlin 1994), 91--110
Simultaneous representations in uniform spaces (with V. Trnková) , Cahiers Top. Geom. Diff. Categ. 35(1994), 129--138
Almost coreflective and projective classes (with H. L. Bentley) , Appl. Categ. Structures 2(1994), 187--203
The Katětov dimension of proximity spaces (with H.L. Bentley, R. Ori) , Appl. Categ. Structures 4(1995), 43--55
Generalized reflective cum coreflective classes in Top and Unif (with A. Tozzi) , Appl. Categ. Structures 4(1995), 57--68
Sequentially continuous homomorphisms on products of topological groups, , Topology and its Appl. 70(1996), 155--165
Universal metric spaces and factorization theorems (with S. Watson) , Topology and its Appl. 74(1996), 259--263
History of uniform spaces (with H.L. Bentley, H. Herrlich) , in Handbook of the History of General Topology, Vol.2, 577-629 (1998,Kluwer Acad. Publ.)
Mazur-like topological linear spaces and their products, , Comment.Math.Univ.Carolinae 38(1997), 157--164
Productivity of some classes of topological linear spaces, , Topology and its Appl.80(1997),141-154
A counterpart of compactness (with E.Giuli), , Boll. Unione Matem. Italiana 11(1997),605-621
Productivity of coreflective classes, Seminarberichte, Fachbereich Math Univ.Hagen., Band 64(1998),137-144
Productivity of coreflective classes of topological groups (with H.Herrlich), , Comment.Math.Univ.Carolinae 40(1999),551-560
A Stone-Weierstrass theorem type theorem for unstructured set - with applications (with H.L.Bentley and E.Lowen-Colebunders), , Appl. Categ. Structures 8(2000),425-434
A generalization of Herrlich's questions on almost reflective and coreflective subclasses of Top and Unif (with A.Tozzi), , Appl. Categ. Structures 8(2000),393-406
Counterexample on products of bornological spaces, , Archiv der Math. 75(2000),217-219
Two categorical problems about groups, , Proc. of CatMat 2000 Conference, Bremen, August 2000, 257-260
Sequential continuity and submeasurable cardinals (with B.Balcar), , Topology and its Appl. 111(2001),49-58
Abelian groups: simultaneously reflective and coreflective subcategories versus modules (with R.El Bashir and H.Herrlich), , in Categorical Perspectives (ed. J.Koslowski and A.Melton, Birkhauser, Boston 2001), 265-281
Extensions of topological and semitopological groups and the product operation (with A.V.Arhangelskii), , Comment.Math.Univ.Carolinae 42(2001),173-186
The locally fine coreflection and normal covers in the products of partition-complete spaces (with A.Hohti and J.Pelant), , Topology and its Appl. 126(2002),187-205
Productivity numbers in topological and topological linear spaces, , electr. publ. of Univ. Hagen (to birthday of D.Pumplun), 2003
Productivity of coreflective classes in some topological structures, , Categ.Str. Appl. (ed.: W.Gaehler, G.Preuss, World Sci. 2004), 143-156
C_{p}(X) in coreflective classes of locally convex spaces, , Topology and its Appl. 146(2005), 267-278
Productivity numbers in topological spaces, , Topology and its Appl. 152(2005), 301-309
Characters of ultrafilters and tightness of products of fans, , Topology and its Appl. 154(2007), 2104--2109.
Productive coreflective classes in Top. , Appl. Categ. Structures 15 (2007), 615--620
Closed embeddings into complements of ÎŁ-products, (with A.V.Arhangel'skii) , Comment. Math. Univ. Carolin. 49 (2008) 647--655
Urysohn universal space, its development and Hausdorff's approach, , Topology and its Appl. 155(2008) 1493--1501.
C(X) as a real l-group, (with A.Pulgarin) , Topology Appl. 157 (2010) 1454--1459.
C(X) as a lattice: A generalized problem of Birkhoff and Kaplansky, (with A.Pulgarin) , Topology and its Appl. 158 (2011) 904--912.
C(X)-objects in the category of semi-affine lattices, (with A.Pulgarin) , Appl.Categ.Str. 19(2011) 439--454.
Extension of mappings and pseudometrics, , Extracta Math. 25 (2010), 277â€“308.
General approach to characterizations of C(X), (with A.Pulgarin) , Topology Appl. 159 (2012), 1603--1612.
On characterizing Riesz spaces C(X) without Yosida representation, (with A.Pulgarin) , Positivity 13 (2013), 515–524.
Banach-Stone-like theorems for lattices of uniformly continuous functions, (with A.Pulgarin) , Quaest. Math. 35 (2012), 417--430.
Lattices of uniformly continuous functions, (with A.Pulgarin) , Quaest. Math. 36 (2013), 389–397.
Recent progress on characterizing lattices C(X) and U(Y) (with A.Pulgarin) Rend. Istit. Mat. Univ. Trieste 45 (2013), 89–96.
Lattices of uniformly continuous functions determine their sublattices of bounded functions, Topology Appl. 182 (2015), 71–76.
When lattices of uniformly continuous maps on X determine X, (with A.Pulgarin), Topology Appl. 194 (2015). 228–240.
Productivity numbers in paratopological groups, (with B.Batíková), Topology Appl. 193 (2015), 167–174.
Productivity of coreflective subcategories of semitopological groups,,(with B.Batíková), Appl. Category Str. 24 (2016), 497–508.
Restrictions of homeomorphisms of compactifications, Top.Appl. 221 (2017), 121–-132.
Variations of uniform completeness related to realcompactness, Comment.Math. Univ. Carolinae 58 (2017), 501–518.
Ordered sets as uniformities, Top.Algebra Appl. 6 (2018), 67-76.
Factorization and local presentability in topological and uniform spaces, (with J.Rosický), Topology Appl. 259 (2019), 251–266.
Factorization of maps on limits of inverse systems in Top, Topology Appl. 281 (2020), article 107195.
Factorization of maps from products of uniform spaces, Topology Appl. (202!), article 107792.
G_{δ}-covers, strongly compact cardinals and factorization of maps in Unif and Top, submitted
G_{δ}-covers and strongly compact cardinals, prepared for submitting.
Other publication activities
Translation of the book A.E. Taylor: Introduction into Functional Analysis into Czech, Academia Prague, 1973
70 years of Josef Novák (with V. Koutník), Pokroky Mat. Fyz. Astronomie 20(1975), 61-65
M. R. Fréchet (with M. Hušková), Pokroky Mat. Fyz. Astronomie 23(1978), 307-310
Zdeněk Frolík awarded, Czech. Math. J. 22(1972), 683-685
Zdeněk Frolík 1933-1989 (with J. Pelant), Top. Appl. 44(1992), 11-17
Editor of the book Recent Progress in General Topology (with J. van Mill), North Holland, Amsterdam 1992, 796 pp.
Editor of the book Recent Progress in General Topology II (with J. van Mill), North Holland, Amsterdam 2002, 638 pp.
Hausdorffs Studien uber Kurven, Bogen und Peano-Kontinua (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, BerliÂn, 2008, 798-825
Hausdorffs Studien zu Fundamentalkonstruktionen der Topologie (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, BerliÂn, 2008, 778-786
Hausdorffs Studien zur Dimensionstheorie (with H.Herrlich and G.Preuss), in Felix Hausdorff gesammelte Werke III, Springer, BerliÂn, 2008, 840-853
Several commentaries to published and unpublished work of F.Hausdorff, in Felix Hausdorff gesammelte Werke, Springer, Berlin, 2008--2010