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.
@article{bwmeta1.element.doi-10_1515_taa-2016-0003,
author = {Boris G. Averbukh},
title = {On unitary extensions and unitary completions of topological monoids},
journal = {Topological Algebra and its Applications},
volume = {4},
year = {2016},
zbl = {1357.22001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2016-0003}
}
Boris G. Averbukh. On unitary extensions and unitary completions of topological monoids. Topological Algebra and its Applications, Tome 4 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2016-0003/