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| ``Re: I want to be nominated for Abel Prize''
by porton on 2009-05-31 11:43:52 |
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| > Also, if your aim is to win a prize for your work, you might
> want to keep in mind that the matematical community usually
> tends to award recognition and prizes, not for developing
> general theory, but for solving specific problems,
> especially
> if those problems happen to be longstanding conjectures by
> famous mathematicians. For instance, Perelman did not get
> his prize because he developed the theory of Ricci flows,
> but
> because he settled the Poincare conjecture. Therefore, if
> your ambition is to win a prize, you might want to look for
> open problems which could be done using your new techniques
> and work on solving them.
Hm, honestly, I know a few such problems to solving which my theory can be applied. It is too abstract.
I will attempt so solve "Is every regular paratopological group Tychonoff?"
http://garden.irmacs.sfu.ca/?q=op/is_every_regular_paratopological_group_tychonoff
I have not yet carefully looked into online articles "Quasi-uniform spaces" and "Quasi-uniform Spaces in the Year 2001" for more problems I may attempt to solve.
Probably most usefully for problem-solving along the rest of my research I have an idea how to introduce generalized limit of arbitrary (discontinuous) function. It may have great impact for the differential equations theory and likewise. My current article on this is currently incorrect (I say in the text of that article that some things are unproved), but apparently I know how to correct it. This (currently broken) article idea is avail at
http://www.mathematics21.org/binaries/generalized-limit.pdf
As the contrary I opened much new open problems for the future researchers :-)
http://www.mathematics21.org/binaries/agt-open-problems.pdf
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis |
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