I hope that the Is every regular paratopological group Tychonoff? conjecture may be solved by methods of Algebraic General Topology.
Current knowledge of Algebraic General Topology is yet not enough to solve this problem, but as Algebraic General Topology develops, it may probably sustain a method for solution of such open problems as this one.
I have put a sketch of my theory known as Algebraic General Topology at Wikinfo.
I have discovered a new field of mathematics, Algebraic General Topology.
Today searching in Google for the string "Algebraic General Topology" I found it as University courses at this and this pages of Capital Normal University. Yeah! my theories are studied in Universities!
This is notwithstanding that Algebraic General Topology is currently not officially published, it is presented as just drafts at my Web site.
I have been also not endorsed for arXiv, please endorse me for arXiv.
As the last will, I also inquire you to please nominate me for Abel Prize, I need money to support my research.
Please endorse arXiv preprint of my General Topology research manuscripts (see this link).
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I have corrected serious errors in my article Connectedness of funcoids and reloids (about a generalized uniform and proximity connectedness).
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