Alexandroff One Point Compactification

Open access

Alexandroff One Point Compactification

In the article, I introduce the notions of the compactification of topological spaces and the Alexandroff one point compactification. Some properties of the locally compact spaces and one point compactification are proved.

[1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.

[2] Grzegorz Bancerek. The "way-below" relation. Formalized Mathematics, 6(1):169-176, 1997.

[3] Grzegorz Bancerek. Bases and refinements of topologies. Formalized Mathematics, 7(1):35-43, 1998.

[4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

[5] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.

[6] Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.

[7] Agata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257-261, 1990.

[8] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.

[9] Zbigniew Karno. Separated and weakly separated subspaces of topological spaces. Formalized Mathematics, 2(5):665-674, 1991.

[10] Zbigniew Karno. On nowhere and everywhere dense subspaces of topological spaces. Formalized Mathematics, 4(1):137-146, 1993.

[11] Artur Korniłowicz. Introduction to meet-continuous topological lattices. Formalized Mathematics, 7(2):279-283, 1998.

[12] Beata Padlewska. Locally connected spaces. Formalized Mathematics, 2(1):93-96, 1991.

[13] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.

[14] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.

[15] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.

[16] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

[17] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

[18] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.

[19] Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231-237, 1990.

Formalized Mathematics

(a computer assisted approach)

Journal Information


SCImago Journal Rank (SJR) 2016: 0.207
Source Normalized Impact per Paper (SNIP) 2016: 0.315

Target Group

researchers in the fields of formal methods and computer-checked mathematics

Metrics

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 40 40 15
PDF Downloads 7 7 2