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Path for solving my open problems
I will outline which open problems follow from other open problems. In this post I don’t enter into gory details how to prove these implications, because these are useless without a prior proof of the...
View ArticleThe first problem in the chain is solved
I solved the first problem from this blog post (see Funcoids and Reloids article for a solution). It opens the path for solving several other open problems which seem to be its consequences.
View ArticleOrderings of filters in terms of reloids, draft
I updated the article Orderings of filters in terms of reloids from “preliminary draft” to just “draft”. It means most errors are corrected and now you can read it.
View ArticleProduct funcoids – a first messy draft
Product funcoids [outdated link remove] (not a math article but a messy collection of unproved and not exactly formulated statements). This is my first attempt to define product funcoids. There is...
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Micronization – the first attempt to define
This is my first attempt to define micronization. Definition Let is a binary relation between sets and . micronization of is the complete funcoid defined by the formula (for every ) Conjecture If is a...
View ArticleI am changing my research field
I failed to make progress in research of product of funcoids, the next thing I should research in my research plan. I also fail to solve any of my open problems. Thus my research is stalled. I hope...
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Some new theorems
I added the following theorems to Funcoids and Reloids article. The theorems are simple to prove but are surprising, as do something similar to inverting a binary relation which is generally neither...
View ArticleProduct of two funcoids and product of two funcoids
I’ve put online an article (PDF, a partial draft) where I define product of two morphisms for certain categories. (Such products are pointfree funcoids.) Particularly it is defined product of two...
View ArticleMy first article is published
My first math article (titled “Filters on Posets and Generalizations”) was recently published in a peer reviewed, open access journal. Why I published my first research article only in the age of 31?...
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