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

Continue reading# Author: porton

## 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## Generalized Limit Expressed through Ultralimits

In my book Limit of a Discontinuous Function I defined the generalized limit defined for every (even discontinuous) function. The

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## 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## Book “Axiomatic Theory of Formulas: Algebraic Theory of Formulas”

“Axiomatic Theory of Formulas: Algebraic Theory of Formulas”: Paperback E-book Homepage Mathematicians studied everything except formulas 🙂 Now there is

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