Open Accessℛ-compact spaces with 𝒳<ℰ𝓍𝓅_{ℛ}𝒳
Author(s) -
S. Mrówka
Publication year - 2000
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-00-05460-5
Subject(s) - algorithm , annotation , artificial intelligence , computer science , german , archaeology , history
Answering a question of Arhangel’skii, we show—under GCH—that for most cardinals m \mathfrak {m} there exists an R \mathscr {R} -compact space X X such that weight X = m \operatorname {weight} X = \mathfrak {m} but X X does not embed in a closed fashion into the product of m \mathfrak {m} copies of R \mathscr {R} .