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Math Research of Victor Porton

Algebraic General Topology, Axiomatic Theory of Formulas, (generalized) limit of arbitrary function

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Category: Pointfree topology

April 24, 2015 porton

Generalized Fréchet filters

Just a few minutes ago I conceived a definition of generalized Fréchet filters with definition for every poset on which

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December 27, 2014 porton

Another star-category of funcoids

I’ve introduced another version of cross-composition of funcoids. This forms a category with star-morphisms. It is conjectured that this category

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December 23, 2014 porton

The set of funcoids is a co-frame (without axiom of choice)

A mathematician named Todd Trimble has helped me to prove that the set of funcoids between two given sets (and

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December 13, 2014 porton

A conjecture about multifuncoids and ultrafilters is proved

I’ve proved the following conjecture: Theorem Let be a staroid such that is an atomic lattice for each . We

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December 7, 2014 porton

Category theoretical generalization of reloids and funcoids

While walking home from McDonalds I conceived the following idea how we can generalize reloids and funcoids. Let be a

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July 20, 2014 porton

I am going to rewrite my research monograph

When my book was already sent to a publisher, I decided to rewrite it. Here is my rewriting plan (what

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June 26, 2014 porton

Error correction: definition of multifuncoids was wrong

I have corrected some errors in my book related to my definition of multifuncoids. The definition of multifuncoid was wrong

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June 24, 2014 porton

I added a new chapter to my book

After checking for errors I added (as a new chapter) materials of the article Identity staroids into my research monograph.

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June 14, 2014 porton

Draft article about identity staroids

I’ve mostly finished writing the article Identity Staroids which considers -ary identity staroids (with possibly infinite ), which generalize -ary

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February 9, 2014 porton

Products in dagger categories – updated

I have rewritten my draft article Products in dagger categories with complete ordered Mor-sets. Now I denote the product of

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