Normal Functors on The Category of Paracompact p-Spaces and Their Perfect Mappings

被引：0

作者：

Dobrynina, M. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2012年 / 67卷 / 04期

关键词：

D O I：

10.3103/S0027132212040109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that for any paracompact p-space X and any normal functor J of degree >= 3 in the category D the hereditary normality of the space J (X) implies the metrizability of X.

引用

页码：185 / 187

页数：3

共 50 条

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HOLUB, JR
MATHEMATISCHE ANNALEN, 1971, 193 (01) : 1 - &
[32] CHARACTERIZATIONS OF P-SPACES
PAREEK, CM
CANADIAN MATHEMATICAL BULLETIN, 1971, 14 (03): : 459 - &
[33] COUNTABLY PARACOMPACT, NORMAL AND COLLECTIONWISE NORMAL SPACES
ALO, RA
SHAPIRO, HL
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1973, 76 (04): : 346 - 351
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BURKE, DK
PACIFIC JOURNAL OF MATHEMATICS, 1970, 35 (02) : 285 - &
[35] DUALITY OF FUNCTORS IN CATEGORY OF BANACH SPACES
NEGREPON.JW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (06): : 959 - &
[36] THEORY OF P-SPACES
CHOBAN, MM
DOKLADY AKADEMII NAUK SSSR, 1970, 194 (03): : 528 - &
[37] DUALITY OF FUNCTORS IN CATEGORY OF BANACH SPACES
NEGREPON.JM
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A390 - A390
[38] FUNCTORS IN CATEGORY OF LOCALLY CONVEX SPACES
BERMAN, GK
DOKLADY AKADEMII NAUK SSSR, 1964, 154 (03): : 497 - &
[39] A NOTE ON P-SPACES AND MOORE SPACES
BURKE, DK
STOLTENB.RA
PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (03) : 601 - &
[40] M-PARACOMPACT SPACES AND OMEGA-MAPPINGS
GANTNER, TE
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (03): : 427 - 428

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