On unitary extensions and unitary completions of topological monoids

Boris G. Averbukh

Topological Algebra and its Applications (2016)

  • Volume: 4, Issue: 1, page 18-30
  • ISSN: 2299-3231

Abstract

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The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.

How to cite

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Boris G. Averbukh. "On unitary extensions and unitary completions of topological monoids." Topological Algebra and its Applications 4.1 (2016): 18-30. <http://eudml.org/doc/287160>.

@article{BorisG2016,
abstract = {The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.},
author = {Boris G. Averbukh},
journal = {Topological Algebra and its Applications},
keywords = {topological monoid; Cauchy space; completion},
language = {eng},
number = {1},
pages = {18-30},
title = {On unitary extensions and unitary completions of topological monoids},
url = {http://eudml.org/doc/287160},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Boris G. Averbukh
TI - On unitary extensions and unitary completions of topological monoids
JO - Topological Algebra and its Applications
PY - 2016
VL - 4
IS - 1
SP - 18
EP - 30
AB - The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
LA - eng
KW - topological monoid; Cauchy space; completion
UR - http://eudml.org/doc/287160
ER -

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