On finest unitary extensions of topological monoids
Topological Algebra and its Applications (2015)
- Volume: 3, Issue: 1, page 1-10, electronic only
- ISSN: 2299-3231
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topBoris G. Averbukh. "On finest unitary extensions of topological monoids." Topological Algebra and its Applications 3.1 (2015): 1-10, electronic only. <http://eudml.org/doc/268686>.
@article{BorisG2015,
abstract = {We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative case, an abstract monoid containing the initial one.},
author = {Boris G. Averbukh},
journal = {Topological Algebra and its Applications},
keywords = {topological monoid; Cauchy space; completion},
language = {eng},
number = {1},
pages = {1-10, electronic only},
title = {On finest unitary extensions of topological monoids},
url = {http://eudml.org/doc/268686},
volume = {3},
year = {2015},
}
TY - JOUR
AU - Boris G. Averbukh
TI - On finest unitary extensions of topological monoids
JO - Topological Algebra and its Applications
PY - 2015
VL - 3
IS - 1
SP - 1
EP - 10, electronic only
AB - We prove that the Wyler completion of the unitary Cauchy space on a given Hausdorff topological 5 monoid consisting of the underlying set of this monoid and of the family of unitary Cauchy filters on it, is a T2-topological space and, in the commutative case, an abstract monoid containing the initial one.
LA - eng
KW - topological monoid; Cauchy space; completion
UR - http://eudml.org/doc/268686
ER -
References
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- [6] E. Lowen-Colebunders. Function Classes of Cauchy Continuous Maps, Pure and Applied Mathematics, Marcel Dekker Inc., New York, (1989).
- [7] J. F. Ramaley, O. Wyler, Cauchy spaces, (1968), http://repository.cmu. edu/math/97. Zbl0195.24402
- [8] N. Rath, Completion of a Cauchy space without the T2-restriction on the space, Internat. J. Math. & Math. Sci. 24, No. 3 (2000), 163-172. [Crossref] Zbl0960.54017
- [9] N. Rath, Completions of Filter Semigroups, Acta Math. Hungar. 107 (1-2) (2005), 45-54. Zbl1092.54008
- [10] E. E. Reed, Completions of Uniform Convergence Spaces, Math. Ann. 194 (1971), 83-108. MR 45#1109. Zbl 217.19603. [11] O. Wyler, Ein Komplettierungsfunktor für uniforme Limesräume, Math. Nachr. 46 (1970), 1-12. MR 44#985. Zbl 207.52603. Zbl0213.49601
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