On powers of countably pracompact groups

نویسندگان

چکیده

In 1990, Comfort asked: is there, for every cardinal number α≤2c, a topological group G such that Gγ countably compact all cardinals γ<α, but Gα not compact? A similar question can also be asked pracompact groups: which α there pracompact? this paper we construct in the case α=ω, assuming existence of c incomparable selective ultrafilters, and α=κ+, with ω≤κ≤2c, 2c ultrafilters. particular, under second assumption, exists so G2c pracompact, G(2c)+ unlike case.

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ژورنال

عنوان ژورنال: Topology and its Applications

سال: 2023

ISSN: ['1879-3207', '0166-8641']

DOI: https://doi.org/10.1016/j.topol.2023.108434