In my book I introduce funcoids as a generalization of proximity spaces. This is the most natural way to introduce funcoids, but it was not the actual way I’ve discovered them. The first thing discovered equivalent to funcoids was a function $latex…

read moreThe PDF Slides about Algebraic General Topology were updated to match newer notation used in my book. Use these slides to quickly familiarize yourself with my theory. I’ve removed altogether the notion of filter object, instead using a new different notation of…

read moreI present my mathematical theory of singularities. It may probably have applications in general relativity and other physics. The definitions are presented in this short draft article. Before reading this article I recommend to skim through my research monograph (in the field…

read moreI’ve added to my book two following theorems (formerly conjectures). Theorem Let $latex \mu$ and $latex \nu$ are endoreloids. Let $latex f$ is a principal $latex \mathrm{C}’ ( \mu; \nu)$ continuous, monovalued, surjective reloid. Then if $latex \mu$ is $latex \beta$-totally bounded…

read moreReloid is a triple $latex {( A ; B ; F)}&fg=000000$ where $latex {A}&fg=000000$, $latex {B}&fg=000000$ are sets and $latex {F}&fg=000000$ is a filter on their cartesian product $latex {A \times B}&fg=000000$. Endoreloid is reloid with the same $latex {A}&fg=000000$ and $latex…

read more