Topology

1905 Submissions

[2] viXra:1905.0362 [pdf] submitted on 2019-05-19 15:27:14

Proof of the Cantor Hypothesis

Authors: Vatolin Dm.
Comments: 11 Pages. Russian

The proof of the Cantor hypothesis about the continuum power is found. Since previously quite convincing axioms that are not compatible with the continuum hypothesis were discovered, the relationships between the «Cantor» and «non-Cantor» sets are analyzed.
Category: Topology

[1] viXra:1905.0078 [pdf] submitted on 2019-05-04 07:01:16

The Universal Profinitization of a Topological Space

Authors: Pierre-Yves Gaillard
Comments: 4 Pages.

To a topological space X we attach in two equivalent ways a profinite space X' and a continuous map F: X --> X' such that, for any continuous map f: X --> Y, where Y is a profinite space, there is a unique continuous map f': X' --> Y such that f'oF = f.
Category: Topology