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

Continue reading# Category: Nonsmooth analysis

## 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

Continue reading## Algebraic General Topology, a New Branch of Mathematics (Book) and How It Is Related With Limit of Discontinuous Function

Algebraic General Topology (a book series for both postdoctorals and college students) is a new branch of mathematics that replaces

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## Two new chapters in my math draft

I’ve added chapters “Cartesian closedness” and “Singularities” (from the site http://tiddlyspace.com which will be closed soon) to volume 2 draft.

Continue reading## A negative result on a conjecture

Due my research about singularities the problem formulated in this blog post was solved negatively with help of Alex Ravsky

Continue reading## A suggested way to solve an open problem

On the task formulated in this blog post: An attempt to prove that is closed under finite intersections (see http://portonmath.tiddlyspace.com/#[[Singularities%20funcoids%3A%20some%20special%20cases]])

Continue reading## A wiki about applying generalized limit to singularities theory

I have created a wiki about development of theory of singularities using generalized limits. Please read my book (where among

Continue reading## A mathematical theory of singularities!

I present my mathematical theory of singularities. It may probably have applications in general relativity and other physics. The definitions

Continue reading## Rough idea: Operations on singularities and their application to general relativity

I discovered a math theory which (among other things) gives an alternate interpretation of the equations of general relativity (something

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