EXTENSIONS OF DISCRETE SPACES

被引：2

作者：

PORTER, JR

机构：

[1] Department of Mathematics, University of Kansas, Lawrence, Kansas

来源：

PAPERS ON GENERAL TOPOLOGY AND APPLICATIONS | 1993年 / 704卷

关键词：

H-CLOSED; EXTENSIONS; REMAINDERS;

D O I：

10.1111/j.1749-6632.1993.tb52531.x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Simple method is developed that embeds an H-closed space as the remainder of an H-closed extension of a discrete space; one of the many generated extensions will have the same cardinality, weight, density, and character as the original space. Also, an example of an H-closed space (an extension of a discrete space) is constructed in which the number of H-closed subspaces is less than the number of H-sets.

引用

页码：290 / 295

页数：6

共 13 条

[1]

[Anonymous], COMMUNICATION

[2]

BELLA A, 1986, 40 REND ACC NAZ SCI, V10, P251

[3]

Dow A., 1982, TOPOLOGY P, V7, P27

[4]

GILLMAN L., 1960, RINGS CONTINUOUS FUN

[5]

HODEL R, 1988, HDB SET THEORETICAL, P1

[6]

Juhasz I., 1980, CARDINAL FUNCTIONS T

[7]

Juhasz I., 1971, CARDINAL FUNCTIONS T, V34

[8] ON H-SETS AND OPEN FILTER ADHERENCES [J].

KRYSTOCK, RL .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1988, 31 (01) :37-44

[9] ON KATETOV SPACES [J].

PORTER, J ;

TIKOO, M .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (04) :425-433

[10]

Porter Jack R, 1988, EXTENSIONS ABSOLUTES

← 1 2 →