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Cardinal Invariants on Rectifiable Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2016年02期
Page:
1-
Research Field:
数学
Publishing date:

Info

Title:
Cardinal Invariants on Rectifiable Spaces
Author(s):
Zhang Jing1; He Wei2
（1.School of Mathematics and Statistics，Minnan Normal University，Zhangzhou 363000，China）（2.School of Mathematical Sciences，Nanjing Normal University，Nanjing 210023，China）
Keywords:
Rectifiable spaces; topological groups; cardinal invariants
PACS:
O189
DOI:
10.3969/j.issn.1001-4616.2016.02.001
Abstract:
In this paper，some cardinal invariants are discussed in a Rectifiable space G. The main results are：（1）A is a U-discrete subset of G if and only if the closure of A is U-discrete；（2）[nω(G)≤ib(G)χ(G)]；（3）If U is a neighborhood of e in G，then there exists a subset A of G with [A≤c(G)] such that [G=(AU)U]；（4）[ω(G)=nω(G)χ(G)]. The corresponding results in topological groups are improved respectively.

References:

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Last Update: 2016-06-30