Basic Properties of Metrizable Topological Spaces

• Autorzy: Karol Pąk
• Języki publikacji: EN

Abstrakty

EN

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]).

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2009
• Tom: 17
• Numer: 3
• Strony: 201-205

Daty

wydano

2009-01-01

online

2010-07-08

Twórcy

autor

Karol Pąk

• Institute of Computer Science, University of Białystok, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-009-0024-8