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Dugundji Spaces in the Coset Space G/H
Author(s) -
HERNÁNDEZ SALVADOR,
SANCHIS MANUEL
Publication year - 1994
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1994.tb44150.x
Subject(s) - coset , space (punctuation) , mathematics , group (periodic table) , identity (music) , combinatorics , set (abstract data type) , element (criminal law) , topology (electrical circuits) , pure mathematics , discrete mathematics , physics , computer science , quantum mechanics , acoustics , political science , law , programming language , operating system
In this paper we consider a closed subgroup, H , of a topological group, G , satisfying that for each open neighborhood, U , of the identity element of the group there exists another open neighborhood of the identity, V , such that HV ⊆ UH . We prove that any compact G δ ‐set of the coset space G/H is a Dugundji space.