Extreme topological measures

S. V. Butler

Fundamenta Mathematicae (2006)

  • Volume: 192, Issue: 2, page 141-153
  • ISSN: 0016-2736

Abstract

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It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.

How to cite

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S. V. Butler. "Extreme topological measures." Fundamenta Mathematicae 192.2 (2006): 141-153. <http://eudml.org/doc/282719>.

@article{S2006,
abstract = {It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.},
author = {S. V. Butler},
journal = {Fundamenta Mathematicae},
keywords = {-chains; solid sets; solidifiable sets},
language = {eng},
number = {2},
pages = {141-153},
title = {Extreme topological measures},
url = {http://eudml.org/doc/282719},
volume = {192},
year = {2006},
}

TY - JOUR
AU - S. V. Butler
TI - Extreme topological measures
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 2
SP - 141
EP - 153
AB - It has been an open question since 1997 whether, and under what assumptions on the underlying space, extreme topological measures are dense in the set of all topological measures on the space. The present paper answers this question. The main result implies that extreme topological measures are dense on a variety of spaces, including spheres, balls and projective planes.
LA - eng
KW - -chains; solid sets; solidifiable sets
UR - http://eudml.org/doc/282719
ER -

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