1. On $k$-spaces and $k_R$-spaces
- Creator:
- Li, Jinjin
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- $k_R$-spaces, $k$-spaces, $k$-networks, $\sigma $-hereditarily closure-preserving collections, and point-countable collections
- Language:
- English
- Description:
- In this note we study the relation between $k_R$-spaces and $k$-spaces and prove that a $k_R$-space with a $\sigma $-hereditarily closure-preserving $k$-network consisting of compact subsets is a $k$-space, and that a $k_R$-space with a point-countable $k$-network consisting of compact subsets need not be a $k$-space.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public