Multiple gaps

Antonio Avilés; Stevo Todorcevic

Fundamenta Mathematicae (2011)

  • Volume: 213, Issue: 1, page 15-42
  • ISSN: 0016-2736

Abstract

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We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra 𝓟(ω)/fin. We examine different types of such objects found in 𝓟(ω)/fin both from the combinatorial and the descriptive set-theoretic side.

How to cite

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Antonio Avilés, and Stevo Todorcevic. "Multiple gaps." Fundamenta Mathematicae 213.1 (2011): 15-42. <http://eudml.org/doc/282677>.

@article{AntonioAvilés2011,
abstract = {We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra 𝓟(ω)/fin. We examine different types of such objects found in 𝓟(ω)/fin both from the combinatorial and the descriptive set-theoretic side.},
author = {Antonio Avilés, Stevo Todorcevic},
journal = {Fundamenta Mathematicae},
keywords = {multiple gap; analytic gap; Hausdorff gap; injective Banach space},
language = {eng},
number = {1},
pages = {15-42},
title = {Multiple gaps},
url = {http://eudml.org/doc/282677},
volume = {213},
year = {2011},
}

TY - JOUR
AU - Antonio Avilés
AU - Stevo Todorcevic
TI - Multiple gaps
JO - Fundamenta Mathematicae
PY - 2011
VL - 213
IS - 1
SP - 15
EP - 42
AB - We study a higher-dimensional version of the standard notion of a gap formed by a finite sequence of ideals of the quotient algebra 𝓟(ω)/fin. We examine different types of such objects found in 𝓟(ω)/fin both from the combinatorial and the descriptive set-theoretic side.
LA - eng
KW - multiple gap; analytic gap; Hausdorff gap; injective Banach space
UR - http://eudml.org/doc/282677
ER -

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