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A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).

3 votes
1 answer
152 views

A question on quasitopological group

Suppose that $G$ is a regular feebly compact Moore quasitopological group. Must $G$ be a topological group? This was previously posted here on MathSE also. A semitopological group $G$ is a group $G$ …
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2 votes
0 answers
73 views

Is there a star Lindelöf topological group which is not star countable?

I'm interested in this question: Is there a star Lindelöf topological group which is not star countable? A topological space $X$ is said to be star countable if whenever $\mathscr{U}$ is an open cove …
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