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.

Lipparini, P. (2014). Compactness of $\omega^\lambda$ for $\lambda$ singular. JOURNAL OF LOGIC AND ANALYSIS, 6 [10.4115/jla.v6i0.205].

Compactness of $\omega^\lambda$ for $\lambda$ singular

LIPPARINI, PAOLO
2014-01-01

Abstract

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.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/01 - Logica Matematica
English
Powers of omega; finally compact topological space; infinitary language; ultrafilter convergence, limit point; uniform, (λ, λ)-regular ultrafilter; nonstandard element; weakly compact cardinal
http://logicandanalysis.org/index.php/jla/article/view/205
Lipparini, P. (2014). Compactness of $\omega^\lambda$ for $\lambda$ singular. JOURNAL OF LOGIC AND ANALYSIS, 6 [10.4115/jla.v6i0.205].
Lipparini, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/121126
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