COUNTABLE-COMPACT-COVERING MAPS AND COMPACT-COVERING MAPS

被引：2

作者：

CHO, MH ^{[1
]}

JUST, W ^{[1
]}

机构：

[1] OHIO UNIV,DEPT MATH,ATHENS,OH 45701

来源：

TOPOLOGY AND ITS APPLICATIONS | 1994年 / 58卷 / 02期

基金：

美国国家科学基金会;

关键词：

COMPACT-COVERING MAPS; COUNTABLE-COMPACT-COVERING MAPS;

D O I：

10.1016/0166-8641(94)90126-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every countable-compact-covering map with compact fibers from a separable metric space X onto a first-countable, regular space Y is compact-covering. We also show that the assumption that f is countable-compact-covering cannot be replaced by a weaker condition.

引用

页码：127 / 143

页数：17

共 50 条

[1] Countable-compact-covering maps and compact-covering maps (vol 58, pg 127, 1994)
Vaughan, JE
TOPOLOGY AND ITS APPLICATIONS, 1995, 67 (03) : 231 - 231
[2] GDELTA SECTIONS AND COMPACT-COVERING MAPS
MICHAEL, E
DUKE MATHEMATICAL JOURNAL, 1969, 36 (01) : 125 - &
[3] Compact-covering maps and k-networks
Chen, HP
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (08) : 2623 - 2632
[4] ABOUT NEW CLASSES OF MAPS CONNECTED WITH COMPACT-COVERING MAPS
OSTROVSKY, AV
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1994, (04): : 24 - 28
[5] About new classes of maps connected with compact-covering maps
Ostrovskij, A.V.
Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika, 1994, (04): : 24 - 28
[6] COMPACT-COVERING NUMBERS
BALOGLOU, G
COMFORT, WW
FUNDAMENTA MATHEMATICAE, 1988, 131 (01) : 69 - 82
[7] Preservation of the Borel class under countable-compact-covering mappings
Saint Raymond, Jean
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (08) : 1714 - 1725
[8] REMARKS ON COMPACT-COVERING MAPPINGS
ALSTER, K
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1971, 19 (02): : 141 - &
[9] Covering maps of spaces of compact subsets
Gel'man, B. D.
Zhukovskii, S. E.
MATHEMATICAL NOTES, 2013, 93 (3-4) : 539 - 544
[10] A THEOREM ON COMPACT-COVERING REAL FUNCTIONS
VILLANI, A
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1984, 3B (01): : 99 - 109

← 1 2 3 4 5 →