The complexity of the set of squares in the homeomorphism group of the circle

Paul Gartside; Bojana Pejić

Fundamenta Mathematicae (2007)

  • Volume: 195, Issue: 2, page 125-134
  • ISSN: 0016-2736

Abstract

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The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.

How to cite

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Paul Gartside, and Bojana Pejić. "The complexity of the set of squares in the homeomorphism group of the circle." Fundamenta Mathematicae 195.2 (2007): 125-134. <http://eudml.org/doc/283082>.

@article{PaulGartside2007,
abstract = {The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.},
author = {Paul Gartside, Bojana Pejić},
journal = {Fundamenta Mathematicae},
keywords = {Polish group; Borel; complete analytic},
language = {eng},
number = {2},
pages = {125-134},
title = {The complexity of the set of squares in the homeomorphism group of the circle},
url = {http://eudml.org/doc/283082},
volume = {195},
year = {2007},
}

TY - JOUR
AU - Paul Gartside
AU - Bojana Pejić
TI - The complexity of the set of squares in the homeomorphism group of the circle
JO - Fundamenta Mathematicae
PY - 2007
VL - 195
IS - 2
SP - 125
EP - 134
AB - The set of squares in the group of autohomeomorphisms of the circle is complete analytic, and hence analytic but not Borel.
LA - eng
KW - Polish group; Borel; complete analytic
UR - http://eudml.org/doc/283082
ER -

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