Basic Properties of Metrizable Topological Spaces

Karol Pąk

Formalized Mathematics (2009)

  • Volume: 17, Issue: 3, page 201-205
  • ISSN: 1426-2630

Abstract

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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]).

How to cite

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Karol Pąk. "Basic Properties of Metrizable Topological Spaces." Formalized Mathematics 17.3 (2009): 201-205. <http://eudml.org/doc/266952>.

@article{KarolPąk2009,
abstract = {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]).},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {3},
pages = {201-205},
title = {Basic Properties of Metrizable Topological Spaces},
url = {http://eudml.org/doc/266952},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Karol Pąk
TI - Basic Properties of Metrizable Topological Spaces
JO - Formalized Mathematics
PY - 2009
VL - 17
IS - 3
SP - 201
EP - 205
AB - 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]).
LA - eng
UR - http://eudml.org/doc/266952
ER -

References

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