Document Type: Research Paper
Nanjing Normal University
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.