Compactness of eventually different families

David Schrittesser

doi:10.1112/blms.12139

Compactness of eventually different families

David Schrittesser

Department of Mathematical Sciences

1 Citation (Scopus)

Abstract

We show that there is an effectively closed maximal eventually different family in spaces of the form π_nA_n with each A_n countable and discrete (for example, Baire space) and give an exact criterion for when there exists an effectively compact such family. The proof generalizes and simplifies earlier proofs by Horowitz and Shelah, as well as by the present author.

Original language	English
Journal	Bulletin of the London Mathematical Society
Volume	50
Pages (from-to)	340–348
ISSN	0024-6093
DOIs	https://doi.org/10.1112/blms.12139
Publication status	Published - Apr 2018

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title = "Compactness of eventually different families",

abstract = "We show that there is an effectively closed maximal eventually different family in spaces of the form πnAn with each An countable and discrete (for example, Baire space) and give an exact criterion for when there exists an effectively compact such family. The proof generalizes and simplifies earlier proofs by Horowitz and Shelah, as well as by the present author.",

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AB - We show that there is an effectively closed maximal eventually different family in spaces of the form πnAn with each An countable and discrete (for example, Baire space) and give an exact criterion for when there exists an effectively compact such family. The proof generalizes and simplifies earlier proofs by Horowitz and Shelah, as well as by the present author.

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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Compactness of eventually different families

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