关于弱层空间的注记(英文)

A Note on Weak Stratifiable Spaces

本文通过反例说明具有可数闭k-网的空间不一定是弱层空间,从而部分回答了林寿在文[k半层空间的性质及相关问题,数学进展,2012,41(1):1-6]中提出的一个问题;文中还给出了一个空间成为弱层空间的一个充分条件.

We show that a space with a countable closed k-network does not need to be a weak stratifiable space which partially answers a question posed by Lin in [The properties of k-semi-stratifiable spaces and related questions, Advances in Mathematics（China）, 2012, 41（1）： 1-6]. Moreover, we present a sufficient condition for a topological space to be a weak stratifiable space.