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 a positive solution, my algorithm is its solution. I was kinda afraid if I already have almost solved P=NP as an easy consequence of my today’s things. For better or worse, no: The only theorems […]

My Political Position: Social Crypto Libertarianism (“Not Capital”)

Describes the new political (economical) ideology under the contingent name social crypto libertarianism or left crypto libertarianism (Note that it is not social, not left, and not libertarianism, I call it so for lack of more suitable words.) and the practical steps of how to implant this concept into modern economy. You are offered to participate in the experiment volunteering or for a reward.

A Popular Introduction into the Generalized Limit (of arbitrary discontinuous function)

Abstract. A review of my book “Generalized limit (of arbitrary discontinuous function)”. A popular introduction with graphs to the following topic: I consider (a generalized) limit of an arbitrary (discontinuous) function, defined in terms of funcoids. The definition of the generalized limit makes it obvious to define such things as the derivative of an arbitrary […]

Infinitesimal Calculus on the Reverse in my Book “Limit of a Discontinuous Function”

Traditional calculus as first considered in 17th century by Isaac Newton (and Leibniz, however some say Leibniz stole the Newton’s idea) and then 150 years later formalized (formulated correctly) by Cauchy and Weierstrass, uses limits. Initially calculus was called “infinitesimal calculus”, but in recent time the collocation “infinitesimal calculus” is usually used for a more […]

The book “Algebraic General Topology” published officially

After a long time of being an unaccepted genius, the first volume of my book Algebraic General Topology is published officially (by the biggest Russian science publisher INFRA-M). The most general in general topology and algebraic theory, generalization of limit for multivalued discontinuous functions, algebraic formula of continuity (for multivalued functions), common theory of calculus […]

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 publisher INFRA-M and signed the publication contract. They are going to publish my book electronically. They also asked to send them a Russian translation of my book to publish both in print and electronically. The […]

Algebraic General Topology. Volume 1 updated

The online book Algebraic General Topology. Volume 1 was updated. The update corrects a few errors in the section “Equivalent filters and rebase of filters” (which was previously marked as unchecked for errors).