Title of article
Continuity of separately continuous group actions in p-spaces
Author/Authors
Ahmed Ait-Bouziad، نويسنده , , Ahmed، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1996
Pages
6
From page
119
To page
124
Abstract
Let ƒ:X × Y → Z be a separately continuous mapping, where X is a Baire p-space and Z a completely regular space, and let y ϵ Y be a q-point. We show that 1.
s strongly quasicontinuous at each point of X × {y},
f Z is a p-space, then ƒ is subcontinuous at each point of A × {y}, where A is a dense subset of X. Then, we use (i) and (ii) to prove that every separately continuous action of a left topological group, which is a Baire p-space, in a p-space, is a continuous action. In particular, every semitopological group, which is a Baire p-space, has a continuous multiplication.
Keywords
q-space , Semitopological group , Separate continuity , Group action , Subcontinuity , P-space , Strong quasicontinuity
Journal title
Topology and its Applications
Serial Year
1996
Journal title
Topology and its Applications
Record number
1578882
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