On the non-productivity of normality in Moore spaces

被引：1

作者：

Cook, H ^{[1
]}

Reed, GM ^{[1
]}

机构：

[1] Univ Houston, Dept Math, Houston, TX 77004 USA

来源：

关键词：

Moore spaces; normality; products; Martin's Axiom; intersection topology;

D O I：

10.1090/S0002-9939-99-04051-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under Martin's Axiom and the denial of the Continuum Hypothesis, the authors give examples of normal Moore spaces whose squares are not normal.

引用

页码：875 / 880

页数：6

共 50 条

[41] COMPLETION AND SEMICOMPLETION OF MOORE SPACES
GREEN, JW
PACIFIC JOURNAL OF MATHEMATICS, 1975, 57 (01) : 153 - 165
[42] On co-Moore spaces
Golasinski, M
Gonçalves, DL
MATHEMATICA SCANDINAVICA, 1998, 83 (01) : 42 - 52
[43] CONCERNING COMPLETABLE MOORE SPACES
REED, GM
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 36 (02) : 591 - 596
[44] A THEOREM ON METRIZABILITY OF MOORE SPACES
TRAYLOR, DR
AMERICAN MATHEMATICAL MONTHLY, 1962, 69 (09): : 889 - +
[45] METRIZABLE SUBSETS OF MOORE SPACES
PROCTOR, CW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 95 - &
[46] SCREENABILITY AND METRIZABILITY OF MOORE SPACES
REED, GM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (07): : 1064 - &
[47] MOD K MOORE SPACES
BENNETT, HR
MARTIN, H
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A17 - A17
[48] COMPLETENESS OF SEMICOMPLETE MOORE SPACES
WICKE, HH
WORRELL, JM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (05): : A507 - A507
[49] CONTINUOUS IMAGES OF MOORE SPACES
REED, GM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A672 - A672
[50] EMBEDDING OF COMPLETE MOORE SPACES
CREEDE, GD
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 28 (02) : 609 - &