I have proved (the proof is currently available in this file) that are components of a pointfree funcoid between boolean

Continue reading# Category: Pointfree topology

A new (but easy to prove) theorem in my research book: Theorem Let and be endomorphisms of some partially ordered

Continue reading## $T_4$-funcoids

I have added to my free ebook a definition of -funcoids (generalizing topologies). A funcoid is iff . This can

Continue reading## A new easy theorem about pointfree funcoids

I have added the following easy to prove theorem to my general topology research book: Theorem If and are bounded

Continue reading## A new math abstraction, categories of sides

I introduce a new math abstraction, categories of sides, in order to generalize two theorems into one. Category of sides

Continue reading## A new negative result in pointfree topology

I have proved the following negative result: Theorem is not boolean if is a non-atomic boolean lattice. The theorem is

Continue reading## Galois connections are related with pointfree funcoids!

I call pointfree funcoids (see my free e-book) between boolean lattices as boolean funcoids. I have proved that: Theorem Let

Continue reading## I’ve partially proved a conjecture

The following is a conjecture: Conjecture The set of pointfree funcoids between two boolean lattices is itself a boolean lattice.

Continue reading## My math research monograph updated

I have uploaded a new version of my research monograph in general topology. It weakens conditions of some theorems in

Continue reading## My book was checked for errors

I have checked for errors the entire text of my research monograph Algebraic General Topology. Volume 1 in which I

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