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Channel: November 2016 – Victor Porton's Math Blog
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A different definition of product of funcoids

Definition for an indexed family of funcoids and atomic reloids and of suitable form. Here means that is a finite set. Conjecture Funcoid exists.

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A new kind of product of funcoids

The following is one of a few (possibly non-equivalent) definitions of products of funcoids: Definition Let be an indexed family of funcoids. Let be a filter on . for atomic reloids and . Today I have...

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A new diagram about funcoids and reloids

Define for posets with order : ; . Note that the above is a generalization of monotone Galois connections (with and replaced with suprema and infima). Then we get the following diagram (see this PDF...

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Generalized cofinite filters

I have described generalized cofinite filters (including the “cofinite funcoid”). See the draft at http://www.mathematics21.org/binaries/addons.pdf

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