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Tytuł książki

Countable-dimensional spaces: a survey

Autorzy

Ryszard Engelking Elżbieta Pol

Seria

Rozprawy Matematyczne tom/nr w serii: 216 wydano: 1983

Zawartość

Pełne teksty:
rm21601.pdf

Warianty tytułu

Abstrakty

EN

CONTENTS
1. Definitions and characterizations ...................................................5
2. Subspace theorems .....................................................................10
3. Addition and sum theorems..........................................................13
4. Cartesian product theorems.........................................................20
5. Compactification and completion theorems..................................24
6. Universal space theorems............................................................28
7. Mapping theorems .......................................................................29
8. Relations to other classes of infinite-dimensional spaces ............33
Bibliography......................................................................................38

Słowa kluczowe

Tematy

Wydawca

Instytut Matematyczny Polskiej Akademii Nauk

Miejsce publikacji

Warszawa

Copyright

Seria

Rozprawy Matematyczne tom/nr w serii: 216

Liczba stron

41

Liczba rozdzia³ów

Opis fizyczny

Dissertationes Mathematicae, Tom CCXVI

Daty

wydano
1983

Twórcy

autor
Ryszard Engelking
autor
Elżbieta Pol

Bibliografia

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  • [Le 1] [A. Lelek], А. Лелек, О размерности наростов при компактных расширениях, ДАН СССР 160 (1965), 534-537. [On the dimension of remainders in compact extensions; English translation: Soviet Math. Dokl. 6 (1965), 136-140.]
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  • [Pa 2] [B. A. Pasynkov] Б. А. Пасынков, Об открытых отображениях, ДАН СССР 175 (1967), 292-295. [On open mappings; English translation: Soviet Math. Dokl. 8 (1967), 853-856.]
  • [Pa 3] [B. A. Pasynkov] Б. А. Пасынков, Факторизация отображений на метрические пространства, ДАН СССР 182 (1968), 268-271. [Factorization of mappings onto metric spaces', English translation: Soviet Math. Dokl. 9 (1968), 1140-1143.]
  • [Pa 4] [B. A. Pasynkov] Б. А. Пасынков, Факторизационная теорема для незамкнутых множеств, ДАН СССР 202 (1972) 1274-1276. [A factorization theorem for nonclosed sets; English translation: Sov. Math., Dokl. 13 (1972), 292-295.]
  • [Pa 5] [B. A. Pasynkov] Б. А. Пасынков, О размерности произведений нормальных пространств, ДАН СССР 209 (1973), 792-794. [On the dimension of products of normal spaces', English translation: Soviet Math. Dokl. 14 (1973), 530-533.]
  • [PoE 1] E. Pol, A remark about the Juhász-Kunen-Rudin construction of a hereditarily separable non-Lindelöf space. Bull. Acad. Pol. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 749-751.
  • [PoE 2] E. Pol, Some examples in the dimension theory of Tychonoff spaces, ibid. 24 (1976), 893-897.
  • [PoE 3] — A remark on countable-dimensional Čech-Stone bicompactifications, manuscript.
  • [PoE 4] — Remark on perfect images of the space $K_ω$, Bull. Acad. Pol. Sci. Sér. Sci. Math. Astronom. Phys., 28 (1980), 495-501.
  • [PoR 1] R. Pol, On category-raising and dimension-raising open mappings with discrete fibers. Coll. Math., 44 (1981), 65-76.
  • [PoR 2] R. Pol, A weakly infinite-dimensional compactum which is not countable-dimensional, Proc. Amer. Math. Soc., 82 (1981), 634-636.
  • [PoR 3] R. Pol, On a classification of weakly infinite-dimensional compacta, Fund. Math., to appear.
  • [PoR 4] R. Pol, A remark on A-weakly infinite-dimensional spaces. Topology and Appl. 13 (1982), 97-101.
  • [Polk] L. Polkowski, Some theorems on invariance of infinite dimension under open and dosed mappings, Fund. Math., to appear.
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Języki publikacji

EN

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Identyfikator YADDA

bwmeta1.element.zamlynska-41df814b-71e9-4fac-858d-8c27ae7205ab

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ISBN
83-01-03671-0
ISSN
0012-3862

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DML-PL
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