> On Monday, July 15, 2013 10:26:18 AM UTC-7, Victor Porton wrote: >> Hi all, > >> I have written the book "Algebraic General Topology. Volume 1" with a >> wholly new approach to general topology. >> Currently the book is available online in PDF form: >> http://www.mathematics21.org/binaries/volume-1.pdf > >> The book is accessible even for beginning students (the only prerequisite >> is basic set theory). > >> It is under peer review of a mathematics publisher now. > >> Please nominate me for Abel Prize thanks to my authorship of this book >> which revolutionizes general topology. > > What problems have you been able to solve using your techniques?
Abel Prize is given not only for solving old problems, but also for:
"created powerful new techniques, introduced unifying principles or opened up major new fields of research."
My work hash created powerful new techniques, introduced unifying principles and opened up major new fields of research.
As for now, my research has not lead to solving any pre-existing open problems. But it is quite natural as my research is in a very child (preliminary) stage.
Before using my research to solve some pre-existing open problems, we need to work on continuation of my research itself.
Probably my research is useless until the following conjecture is not proved:
Conjecture. There are direct products in the category of (proximally) continuous functions between endo-funcoids.