2025-02-22T17:12:34-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-124527%22&qt=morelikethis&rows=5
2025-02-22T17:12:34-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-124527%22&qt=morelikethis&rows=5
2025-02-22T17:12:34-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T17:12:34-05:00 DEBUG: Deserialized SOLR response

Discontinuous Birkhoff theorem

A topological space X is called totally recurrent if every mapping f : X → X has a recurrent point. We prove that a Hausdorff space X is totally recurrent if and only if X is either finite or a one-point compactification of an infinite discrete space.

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Bibliographic Details
Main Authors: Petrenko, O., Protasov, I.V.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124527
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