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Remote points

Seria
Rozprawy Matematyczne tom/nr w serii: 188 wydano: 1981
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Warianty tytułu
Abstrakty
EN

CONTENTS

0. Conventions................................................................................................................................... 5
1. Introduction............................................................................................................................................. 5

CHAPTER I. TOOLS AND THE CONSTRUCTION OF SPECIAL POINTS............................... 10
2. Tools........................................................................................................................................................ 10
3. Extension of open sets......................................................................................................................... 10
4. Construction of special points in X*................................................................................................... 12

CHAPTER II. EFFECTIVE PROOFS USING REMOTE POINTS................................................. 16
5. Remote points and extremal disconnectedness at points........................................................... 16
6. Remote points and nonhomogeneity................................................................................................ 17
7.Čech-Stone compactifications and products.................................................................................... 19
8. When "extremally disconnected at" implies remote....................................................................... 22
9. Far points, remote points, and nonhomogeneity............................................................................ 24

CHAPTER III. OTHER APPLICATIONS OF REMOTE POINTS................................................... 25
10. Two examples on extremal disconnectedness............................................................................ 25
11. A partition of R*.................................................................................................................................... 26
12. Extremal disconnectedness and C*-embedding......................................................................... 27
13. Connected compactifications........................................................................................................... 28

CHAPTER IV. PROPERTIES OF REMOTE POINTS.................................................................... 30
14: The structure of remote points.......................................................................................................... 30
15. Nonhomogeneity of spaces of special points............................................................................... 31
16. Special points and Baire spaces..................................................................................................... 32
17. Pseudocompact spaces between X and βX.................................................................................. 32

CHAPTER V. MISCELLANEOUS REMARKS................................................................................ 36
18. Zero-dimensional spaces................................................................................................................. 36
19. Q, Q*, Q**, Q***,................................................................................................................................... 37
20. Retractions from βX onto X*.............................................................................................................. 38
21. Products of remainders..................................................................................................................... 39
22. Questions............................................................................................................................................. 40

REFERENCES................................................................................................................................... 42

INDEX................................................................................................................................................... 44
Słowa kluczowe
Tematy
Miejsce publikacji
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Copyright
Seria
Rozprawy Matematyczne tom/nr w serii: 188
Liczba stron
45
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CLXXXVIII
Daty
wydano
1981
Twórcy
Bibliografia
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bwmeta1.element.zamlynska-334f9e04-e784-4a82-8eb3-b9605ad33a80
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83-01-01251-X
ISSN
0012-3862
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