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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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Volume 17, Issue 3


Basic Properties of Metrizable Topological Spaces

Karol Pąk
Published Online: 2010-07-08 | DOI: https://doi.org/10.2478/v10037-009-0024-8

Basic Properties of Metrizable Topological Spaces

We continue Mizar formalization of general topology according to the book [11] by Engelking. In the article, we present the final theorem of Section 4.1. Namely, the paper includes the formalization of theorems on the correspondence between the cardinalities of the basis and of some open subcover, and a discreet (closed) subspaces, and the weight of that metrizable topological space. We also define Lindelöf spaces and state the above theorem in this special case. We also introduce the concept of separation among two subsets (see [12]).

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About the article

Published Online: 2010-07-08

Published in Print: 2009-01-01

Citation Information: Formalized Mathematics, Volume 17, Issue 3, Pages 201–205, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-009-0024-8.

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