학술논문

Weak continuity properties of topologized groups
Document Type
TEXT
Source
Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:1
Subject
133-148
Language
English
Abstract
We explore (weak) continuity properties of group operations. For this purpose, the Novak number and developability number are applied. It is shown that if $(G, \cdot ,\tau )$ is a regular right (left) semitopological group with $\mathop{{\rm dev}}(G)<\mathop{{\rm Nov}}(G)$ such that all left (right) translations are feebly continuous, then $(G,\cdot ,\tau )$ is a topological group. This extends several results in literature.