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[[File:Zdenek Frolik.png|thumb|Zdeněk Frolík in 1971]]

'''Zdeněk Frolík''' (March 10, 1933 – May 3, 1989) was a [[Czech people|Czech]] mathematician. His research interests included [[topology]] and [[functional analysis]]. In particular, his work concerned covering properties of topological spaces, ultrafilters, homogeneity, measures, uniform spaces. He was one of the founders of modern descriptive theory of sets and spaces.<ref>Zdeněk Frolík 1933–1989, [[Mirek Husek]], [[Jan Pelant]], ''[[Topology and its Applications]]'', Volume 44, issues 1–3, 22 May 1992, pages 11–17,([http://www.sciencedirect.com/science/article/pii/016686419290074A access on subscription]).</ref>

Two classes of topological spaces are given Frolík's name: the class P of all spaces <math>X</math> such that <math>X \times Y</math> is [[pseudocompact]] for every pseudocompact space <math>Y</math>,<ref>[[Jerry Vaughan|Vaughan, Jerry E.]], [http://dml.cz/dmlcz/128448 On Frolík's characterization of class ''P'']. ''Czechoslovak Mathematical Journal'', vol. 44 (1994), issue 1, pp. 1-6, freely available.</ref> and the class C of all spaces <math>X</math> such that <math>X \times Y</math> is [[countably compact]] for every countably compact space <math>Y</math>.<ref>J.E. Vaughan, Countably compact and sequentially compact spaces. ''Handbook of Set-theoretic Topology'', [[Kenneth Kunen|K. Kunen]] and J. Vaughan (ed.), [[North-Holland]], Amsterdam, 1984.</ref>

Frolík prepared his Ph.D. thesis under the supervision of [[Miroslav Katetov]] and [[Eduard Čech]].<ref>[http://www.genealogy.math.ndsu.nodak.edu/id.php?id=103809 Zdeněk Frolík] on the [[Mathematics Genealogy Project]].</ref>

<ref>Generalizations of compact and Lindelöf spaces - Czechoslovak Math. J., 9 (1959), pp. 172–217 (in Russian, English summary)</ref>
<ref>The topological product of countably compact spaces - Czechoslovak Math. J., 10 (1960), pp. 329–338</ref>
<ref>The topological product of two pseudocompact spaces - Czechoslovak Math. J., 10 (1960), pp. 339–349</ref>
<ref>Generalizations of the Gδ-property of complete metric spaces - Czechoslovak Math. J., 10 (1960), pp. 359–379</ref>
<ref>On the topological product of paracompact spaces - Bull. Acad. Polon., 8 (1960), pp. 747–750</ref>
<ref>Locally complete topological spaces - Dokl. Akad. Nauk SSSR, 137 (1961), pp. 790–792 (in Russian)</ref>
<ref>Applications of complete families of continuous functions to the theory of Q-spaces - Czechoslovak Math. J., 11 (1961), pp. 115–133</ref>
<ref>Invariance of Gδ-spaces under mappings - Czechoslovak Math. J., 11 (1961), pp. 258–260</ref>
<ref>On almost real compact spaces - Bull. Acad. Polon., 9 (1961), pp. 247–250</ref>
<ref>On two problems of W.W. Comfort - Comment. Math. Univ. Carolin., 7 (1966), pp. 139–144</ref>
<ref>Non-homogeneity of βP- P - Comment. Math. Univ. Carolin., 7 (1966), pp. 705–710</ref>
<ref>Sums of ultrafilters - Bull. Amer. Math. Soc., 73 (1967), pp. 87–91</ref>
<ref>Homogeneity problems for extremally disconnected spaces - Comment. Math. Univ. Carolin., 8 (1967), pp. 757–763</ref>
<ref>Baire sets that are Borelian subspaces - Proc. Roy. Soc. A, 299 (1967), pp. 287–290</ref>
<ref>On the Suslin-graph theorem - Comment Math. Univ. Carolin., 9 (1968), pp. 243–249</ref>
<ref>A survey of separable descriptive theory of sets and spaces - Czechoslovak Math. J., 20 (1970), pp. 406–467</ref>
<ref>A measurable map with analytic domain and metrizable range is quotient - Bull. Amer. Math. Soc., 76 (1970), pp. 1112–1117</ref>
<ref>Luzin sets are additive - Comment Math. Univ. Carolin., 21 (1980), pp. 527–534</ref>
<ref>Refinements of perfect maps onto metrizable spaces and an application to Čech-analytic spaces - Topology Appl., 33 (1989), pp. 77–84</ref>
<ref>Decomposability of completely Suslin additive families - Proc. Amer. Math. Soc., 82 (1981), pp. 359–365</ref>
<ref>Applications of Luzinian separation principles (non-separable case) - Fund. Math., 117 (1983), pp. 165–185</ref>
<ref>Analytic and Luzin spaces (non-separable case) - Topology Appl., 19 (1985), pp. 129–156</ref>
<ref>Other references [http://scholar.google.pl/scholar?q=author%3A%22Zdeněk+Frol%C3%ADk%22 here]</ref>

==References==
{{reflist}}

{{Persondata 
| NAME = Frolík, Zdeněk
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Mathematician
| DATE OF BIRTH = March 10, 1933
| PLACE OF BIRTH = [[Czechoslovakia]]
| DATE OF DEATH = May 3, 1989
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Frolik, Zdenek}}
[[Category:1933 births]]
[[Category:1989 deaths]]
[[Category:Charles University in Prague alumni]]
[[Category:20th-century mathematicians]]
[[Category:Czech mathematicians]]
[[Category:Topologists]]

Empirical likelihood - Revision history

en>Quebec99: fixed references