Just a few minutes ago I conceived a definition of generalized Fréchet filters with definition for every poset on which
Continue readingCategory: Pointfree topology
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
Continue readingThe 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
Continue readingA 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
Continue readingCategory 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
Continue readingI 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
Continue readingError 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
Continue readingI 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.
Continue readingDraft article about identity staroids
I’ve mostly finished writing the article Identity Staroids which considers -ary identity staroids (with possibly infinite ), which generalize -ary
Continue readingProducts 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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