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May 18, 2018 / porton

Mappings between endofuncoids and topological spaces

I started research of mappings between endofuncoids and topological spaces.

Currently the draft is located in volume 2 draft of my online book.

I define mappings back and forth between endofuncoids and topologies.

The main result is a representation of an endofuncoid induced by a topological space.

The formula is f\mapsto 1\sqcup\mathrm{Compl}\, f\sqcup(\mathrm{Compl}\, f)^2\sqcup \dots.

However I proved this theorem only for the special case if every singleton is a closed set. Also the proof is not yet checked for errors.

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One Comment

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  1. porton / May 22 2018 00:32

    The proof was with a fatal error. I have removed the said theorem from my drafts. Instead I’ve added a counterexample.

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