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Article

Title: On continuity structures and spaces of mappings (English)
Author: Katětov, Miroslav
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 6
Issue: 2
Year: 1965
Pages: 257-278
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Category: math
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MSC: 54-28
MSC: 54Exx
idZBL: Zbl 0137.42003
idMR: MR0193608
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Date available: 2008-06-05T20:20:58Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105015
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Reference: [1] R. ARENS: A topology for spaces of transformations.Ann. of Math. (2) 47 (1946), 180-495. Zbl 0060.39704, MR 0017525
Reference: [2] R. BROWN: Ten topologies for $X x Y$.Quart. J. Math. Oxford Ser. (2) 14 (1963), 303-319. MR 0159299
Reference: [2a] R. BROWN: Function spaces and product topologies.Quart. J. Math. Oxford Ser. (2) 15 (1964), 238-250. Zbl 0126.38503, MR 0165497
Reference: [3] R. FOX: On topologies for function spaces.Bull. Amer. Math. Soc. 51 (1945), 429-432. Zbl 0060.41202, MR 0012224
Reference: [4] Z. FROLÍK: On the descriptive theory of sets.Czechoslovak Math. J. 13 (88) (1963), 335-359. MR 0162215
Reference: [5] J. R. ISBELL: Uniform spaces.American Mathematical Society, Providence, 1964. Zbl 0124.15601, MR 0170323
Reference: [6] P. HOLM: ${\cal C}$-completion and quasi-compactification.Arh. Norske Vid. - Akad. Oslo I (N. S.) No 3 (1962), 19 pp. MR 0145482
Reference: [7] M. KATĚTOV: Allgemeine Stetigkeitsstrukturen.Proc. Int. Congr. Math., Stockholm 1962; pp. 473-479. MR 0176431
Reference: [8] D. KENT: Convergence functions and their related topologies.Fund. Math. 54 (1964), 125-133. Zbl 0122.41301, MR 0161301
Reference: [9] K. MORITA: On the simple extension of a space with respect to a uniformity. I-IV.Proc. Japan Acad. 27 (1951), 65-72, 130-137, 166-171, 632-636. MR 0048782
Reference: [10] В. Ю. САНДВЕРГ: Новое определение размерности пространств.Доклады AH CCCP 135 (1960), 535-537. Zbl 1004.90500
Reference: [11] E. SPANIER: Quasi-topologies.Duke Math. J. 30 (1963), 1-14. Zbl 0114.38702, MR 0144300
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