I present a new proof of Urysohn’s lemma. Well, not quite: my proof is dependent on an unproved conjecture.

Currently my proof is present in this PDF file.

The proof uses theory of funcoids.

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# New proof of Urysohn’s lemma

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Math Research of Victor Porton

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

I present a new proof of Urysohn’s lemma. Well, not quite: my proof is dependent on an unproved conjecture.

Currently my proof is present in this PDF file.

The proof uses theory of funcoids.

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There is currently an error (or at least white spot) in the proof, see https://www.mathematics21.org/binaries/addons.pdf

The error in the proof was corrected.

The proof rewritten.