# Basic Properties of Metrizable Topological Spaces

Formalized Mathematics (2009)

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

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topKarol 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 -

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