Topologizability of countable equationally Noetherian algebras

It is proved that an arbitrary equationally Noetherian countable algebra in a countable language is topologizable. Also it is shown that certain of the known statements on topologizability follow as a consequence.

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Bibliographische Detailangaben
Veröffentlicht in:	Algebra and logic 2013-05, Vol.52 (2), p.105-115
1. Verfasser:	Kotov, M. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Algebraic topology Mathematical Logic and Foundations Mathematics Mathematics and Statistics Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	It is proved that an arbitrary equationally Noetherian countable algebra in a countable language is topologizable. Also it is shown that certain of the known statements on topologizability follow as a consequence.
ISSN:	0002-5232 1573-8302
DOI:	10.1007/s10469-013-9226-9