I denote s(X) the size of data X (in bits). I denote execution time of an algorithm A as t(A,X).

Continue reading# Category: Open problems

## I’ve Proved Constructivity of P=NP

I’ve found (and proved) an algorithm that is NP-complete in the assumption that P=NP. In other words, if P=NP has

Continue reading## An infinitely big structure in the center of a black hole?

I remind that I defined generalized limit of arbitrary function. The limit may be an infinitely big value. It allows

Continue reading## Some Conjectures About Generalized Limits

Continuing my research from general topology monograph Algebraic General Topology, the following new open problems arose: I remind that I

Continue reading## Monograph “Algebraic General Topology. Volume 1” sent for publication

I’ve sent the final version of the first edition of my research monograph Algebraic General Topology. Volume 1 to Russian

Continue reading## Math volunteer job

I welcome you to the following math research volunteer job: Participate in writing my math research book (volumes 1 and

Continue reading## A step forward to solve an open problem

I am attempting to find the value of the node “other” in a diagram currently located at this file, chapter

Continue reading## A conjecture proved

I have proved the conjecture that for every endoreloid . The easy proof is currently available in this file.

Continue reading## New conjecture about funcoids

Conjecture if is a totally ordered (generalize for a filter base) set of filters (or at least set of sets).

Continue reading## Mappings between endofuncoids and topological spaces

I started research of mappings between endofuncoids and topological spaces. Currently the draft is located in volume 2 draft of

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