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

Continue reading# Category: General Topology

## New Edition of the Book “Algebraic General Topology. Book 1: Basics”

I’ve published a new edition of my book Algebraic General Topology. The new edition features “unfixed morphisms” a way to

Continue reading## 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

Continue reading## What is Algebraic General Topology (Video)

Algebraic general topology – what is it? First, what is a general topology? General topology is the theory of topological

Continue reading## Algebraic General Topology – A Game Changing Mathematical Theory

This new research field generalizes new theorems as well as former analysis by collapsing several theorems of analysis into one

Continue reading## 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## 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## Every Pointfree Funcoid on a Semilattice is an Algebraic Structure

Continuing this blog post: The set of all pointfree funcoids on upper semilattices with least elements is exactly a certain

Continue reading## Funcoid is a “Structure” in the Sense of Math Logic

A few seconds ago I realized that certain cases of pointfree funcoids can be described as a structure in the

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

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