Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

A note on the remainders of rectifiable spaces

Document Type : Research Paper

Authors
1 Nanjing Normal University
2 Wuyi University
Abstract
In this paper‎, ‎we mainly investigate how the generalized metrizability properties of the remainders affect the metrizability of rectifiable spaces‎, ‎and how the character of the remainders affects the character‎
‎and the size of a rectifiable space‎. ‎Some results in [A. V‎. ‎Arhangel'skii and J‎. ‎Van Mill‎, ‎On topological groups with a first-countable remainder‎, ‎Topology Proc. 42 (2013) ‎157--163‎.] and [F. C‎. ‎Lin‎, ‎C‎. ‎Liu‎, ‎S‎. ‎Lin‎, ‎A note on rectifiable spaces‎, Topology Appl. 159 (2012)‎, ‎no‎. ‎8‎, ‎2090--2101‎.] are improved‎, ‎respectively‎.
Keywords
Subjects

Volume 40, Issue 6 - Serial Number 6
December 2014
Pages 1515-1526

  • Receive Date 09 April 2013
  • Revise Date 11 November 2013
  • Accept Date 12 November 2013