Processing math: 100%
top library bulletin
bar home editorial guideline content
dot
 
Volume 36 • Number 4 • 2013
 
• Metrizability of Rectifiable Spaces
Fucai Lin

Abstract.
A topological space G is said to be a {\it rectifiable space} provided that there are a surjective homeomorphism φ:G×GG×G and an element eG such that π1φ=π1 and for every xG we have φ(x,x)=(x,e), where π1:G×GG is the projection to the first coordinate. In this paper, we firstly show that every submaximal rectifiable space G either has a regular Gδ-diagonal, or is a P-space. Then, we mainly discuss rectifiable spaces are determined by a point-countable cover, and show that if G is an α4-rectifiable space determined by a point-countable cover G consisting of bisequential subspaces then it is metrizable, which generalizes a result of Lin and Shen's.

2010 Mathematics Subject Classification:54A25, 54B05, 54E20, 54E35


Full text: PDF
 
dot