Compactness of ω^λ for λ singular | Zendy

Paolo Lipparini | Zendy

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Compactness of ω^λ for λ singular

Author(s) -

Paolo Lipparini

Publication year - 2014

Publication title -

journal of logic and analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.278

H-Index - 4

ISSN - 1759-9008

DOI - 10.4115/jla.2014.6.2

Subject(s) - uncountable set , compact space , mathematics , product topology , topology (electrical circuits) , topological space , regular cardinal , product (mathematics) , space (punctuation) , general topology , order (exchange) , pure mathematics , discrete mathematics , combinatorics , computer science , geometry , countable set , finance , economics , operating system

We characterize the compactness properties of the product of λ copies of the space ω with the discrete topology, dealing in particular with the case λ singular, using regular and uniform ultrafilters, infinitary languages and nonstandard elements. We also deal with products of uncountable regular cardinals with the order topology.

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