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Set-theoretic consistency results and topological theorems concerning the normal Moore space conjecture and related problems

100%

Tall F. D.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Chapter 0 0. Introduction...................................................................................................... 5 1. Outline of thesis.............................................................................................. 7 2. Notation............................................................................................................ 8 Chapter I 0. Definitions........................................................................................................ 9 1. Relations among the covering axioms...................................................... 10 2. Covering axioms and collection wise normality....................................... 13 3. Covering axioms and countability conditions........................................... 18 Chapter II 0. Preliminaries.................................................................................................. 21 1. The consistency proof................................................................................... 24 2. Topological consequences......................................................................... 31 3. Bing's example............................................................................................... 37 4. To be continued............................................................................................. 39 Chapter III 0. Prehistory......................................................................................................... 42 1. History............................................................................................................... 43 2. Everything is equivalent................................................................................. 47 Bibliography.............................................................................................................. 51

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The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition

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Przymusiński T., Tall F. D.

Fundamenta Mathematicae

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1974

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tom 85

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nr 3

291-297

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On a theorem of Jones and Heath concerning separable normal spaces

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Charlesworth A. T., Hodel R. E., Tall F. D.

Colloquium Mathematicum

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1975-1976

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tom 34

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nr 1

33-37

Ograniczanie wyników

1 Colloquium Mathematicum

1 Fundamenta Mathematicae

3 Tall F. D.

1 Charlesworth A. T.

1 Hodel R. E.

1 Przymusiński T.

1 1977

1 1975

1 1974

Set-theoretic consistency results and topological theorems concerning the normal Moore space conjecture and related problems

The undecidability of the existence of a non-separable normal Moore space satisfying the countable chain condition

On a theorem of Jones and Heath concerning separable normal spaces