Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem

Richard N. Ball; James N. Hagler

Czechoslovak Mathematical Journal (2003)

  • Volume: 53, Issue: 2, page 319-342
  • ISSN: 0011-4642

Abstract

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We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.

How to cite

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Ball, Richard N., and Hagler, James N.. "Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem." Czechoslovak Mathematical Journal 53.2 (2003): 319-342. <http://eudml.org/doc/30780>.

@article{Ball2003,
abstract = {We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.},
author = {Ball, Richard N., Hagler, James N.},
journal = {Czechoslovak Mathematical Journal},
keywords = {flow; Stone-Čech compactification; Hindman’s theorem; flow; Stone-Čech compactification; Hindman's theorem},
language = {eng},
number = {2},
pages = {319-342},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem},
url = {http://eudml.org/doc/30780},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Ball, Richard N.
AU - Hagler, James N.
TI - Flow compactifications of nondiscrete monoids, idempotents and Hindman’s theorem
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 2
SP - 319
EP - 342
AB - We describe the extension of the multiplication on a not-necessarily-discrete topological monoid to its flow compactification. We offer two applications. The first is a nondiscrete version of Hindman’s Theorem, and the second is a characterization of the projective minimal and elementary flows in terms of idempotents of the flow compactification of the monoid.
LA - eng
KW - flow; Stone-Čech compactification; Hindman’s theorem; flow; Stone-Čech compactification; Hindman's theorem
UR - http://eudml.org/doc/30780
ER -

References

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