I remind that I defined generalized limit of arbitrary function. The limit may be an infinitely big value. It allows
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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
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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 readingMonograph “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 readingTwo 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 readingA 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 readingA 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 readingA 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 readingA 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 readingRough 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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