A further generalization of the T Ad-density topology

• Autorzy: Wojdowski, W.
• Języki publikacji: EN

Abstrakty

EN

We present a further generalization of the T Ad-density topology introduced in [Real Anal. Exchange 32 (2006/07), 349–358] as a generalization of the density topology. We construct an ascending sequence [wzór] of density topologies which leads to the [wzór]-density topology including all previous topologies. We examine several basic properties of the topologies.

Słowa kluczowe

PL

punkt gęstości; topologia gęstości

EN

density point; density topology

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2013
• Tom: Vol. 19, nr 2
• Strony: 283--304
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Wojdowski, W.

• Institute of Mathematics, Łódź University of Technology, Wólczańska 215, 90-924 Łódź, Poland,

Bibliografia

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• [13] W. Wilczyński, A generalization of the density topology, Real. Anal. Exchange 8 (1982/83), no. 1, 16-20.
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• [15] W. Wilczyński and W. Wojdowski, Complete density topology, Indag. Math. 18 (2007), no. 2, 295-303.
• [16] W. Wojdowski, A generalization of the density topology, Real Anal. Exchange 32 (2006/07), no. 2, 349-358.
• [17] W. Wojdowski, On a generalization of the density topology on the real line, Real Anal. Exchange 33 (2007/08), no. 1, 199-214.
• [18] W. Wojdowski, Corrigendum in: A generalization of density topology and On generalization of the density topology on the real line, Real Anal. Exchange 37 (2011/12), no. 2, 519-522.

Identyfikatory

DOI

10.1515/JAA-2013-017