Countable products of spaces of finite sets

Antonio Avilés

Fundamenta Mathematicae (2005)

  • Volume: 186, Issue: 2, page 147-159
  • ISSN: 0016-2736

Abstract

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We consider the compact spaces σₙ(Γ) of subsets of Γ of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification.

How to cite

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Antonio Avilés. "Countable products of spaces of finite sets." Fundamenta Mathematicae 186.2 (2005): 147-159. <http://eudml.org/doc/282825>.

@article{AntonioAvilés2005,
abstract = {We consider the compact spaces σₙ(Γ) of subsets of Γ of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification.},
author = {Antonio Avilés},
journal = {Fundamenta Mathematicae},
keywords = {uniform Eberlein compact; regular averaging operator; countable product; scattered space},
language = {eng},
number = {2},
pages = {147-159},
title = {Countable products of spaces of finite sets},
url = {http://eudml.org/doc/282825},
volume = {186},
year = {2005},
}

TY - JOUR
AU - Antonio Avilés
TI - Countable products of spaces of finite sets
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 2
SP - 147
EP - 159
AB - We consider the compact spaces σₙ(Γ) of subsets of Γ of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification.
LA - eng
KW - uniform Eberlein compact; regular averaging operator; countable product; scattered space
UR - http://eudml.org/doc/282825
ER -

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