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Category algebras of complete metric spaces
Author(s) -
Maharam Dorothy,
Stone A. H.
Publication year - 1979
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300009554
Subject(s) - mathematics , modulo , metric (unit) , algebraic number , pure mathematics , metric space , space (punctuation) , algebra over a field , discrete mathematics , mathematical analysis , linguistics , operations management , philosophy , economics
We show that a complete metric space X has an essentially unique “nice” zero‐dimensional dense G δ subset, and derive from this a complete algebraic description of the “category algebra” (of Borel modulo first category sets) C ( X )of X .
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