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Is every regular paratopological group Tychonoff? (Solved)

Importance: Medium ✭✭
Author(s): unknown
Subject: Topology
Keywords: paratopological group
Tychonoff
Tychonoff space
Recomm. for undergrads: no
Posted by: porton
on: May 10th, 2008
Solved by: Taras Banakh, Alex Ravsky
Question   Is every regular paratopological group Tychonoff?

This problem was borrowed from this Web page.

arxiv.org/abs/1410.1504 says that the problem was solved positively. Please check that arXiv article for errors.

Bibliography

A. V. Arhangelskii. Topological spaces connected to algebraic structures


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Solve using Algebraic General Topology?

On May 11th, 2008 porton says:

See this blog post about a rough idea how to solve this open problem, namely the idea to use Algebraic General Topology.

--
Victor Porton - http://www.mathematics21.org

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