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Representations of bornologies

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Representations of bornologies

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Pajoohesh, H. (2022). Representations of bornologies. Applied General Topology. 23(1):17-30. https://doi.org/10.4995/agt.2022.16405

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Título: Representations of bornologies
Autor: Pajoohesh, Homeira
Fecha difusión:
Resumen:
[EN] Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $\mathcal{P}(\RR)$ with the Euclidean metric. We show that by replacing $[0,\infty)$ ...[+]
Palabras clave: Bornology , Metrizablity , Frame
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2022.16405
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2022.16405
Tipo: Artículo

References

M. Abel and A. Šostak, Towards the theory of L-bornological spaces, Iran. J. Fuzzy Syst. 8, no. 1 (2011), 19-28.

B. Banaschewski, Hüllensysteme und Erweiterung von Quasi-Ordnungen, Z. Math. Logik Grundlagen Math. 2 (1956), 35-46.

https://doi.org/10.1002/malq.19560020803 [+]
M. Abel and A. Šostak, Towards the theory of L-bornological spaces, Iran. J. Fuzzy Syst. 8, no. 1 (2011), 19-28.

B. Banaschewski, Hüllensysteme und Erweiterung von Quasi-Ordnungen, Z. Math. Logik Grundlagen Math. 2 (1956), 35-46.

https://doi.org/10.1002/malq.19560020803

G. Beer, On metric boundedness structures, Set-valued Anal 7 (1999), 195-208.

https://doi.org/10.1023/A:1008720619545

G. Beer and S. Levi, Total boundedness and bornologies, Topology and its Applications 156 (2009), 1271-1288.

https://doi.org/10.1016/j.topol.2008.12.030

G. Beer and S. Levi, Strong uniform continuity, J. Math. Anal. Appl. 350, no. 2 (2009), 568-589.

https://doi.org/10.1016/j.jmaa.2008.03.058

G. Birkhoff, Lattice Theory, 3rd Edition, American Math. Society Colloquium Publications, Volume 25, (1967), Providence, RI.

J. Cao and A. H. Tomita, Bornologies, topological games and function spaces, Topology Appl. 184 (2015), 16-28.

https://doi.org/10.1016/j.topol.2015.01.009

A. Chand and I. Weiss, Completion of continuity spaces with uniformly vanishing asymmetry, Topology Appl. 183 (2015), 130-140.

https://doi.org/10.1016/j.topol.2015.01.006

R. C. Flagg, Quantales and continuity spaces, Algebra Universalis 37 (1997), 257-276.

https://doi.org/10.1007/s000120050018

R. C. Flagg and R. Kopperman, Continuity spaces: Reconciling domains and metric spaces, Chic. J. Theoret. Comput. Sci. 77 (1977), 111-138.

https://doi.org/10.1016/S0304-3975(97)00236-3

H. Hogbe-Nlend, Bornologies and functional analysis, North-Holland, Amsterdam-New York-Oxford, 1977.

S. T. Hu, Boundedness in a topological space, J. Math. Pures Appl. 228 (1949), 287-320.

J. L. Kelley, General Topology, D. van Nostrand, 1955.

R. Kopperman, All topologies come from generalized metrics, Am. Math. Monthly 95 (1988), 89-97.

https://doi.org/10.1080/00029890.1988.11971974

R. Kopperman, S. Matthews and H. Pajoohesh, Partial metrizability in value quantales, Applied General Topology 5, no. 1 (2004), 115-127.

https://doi.org/10.4995/agt.2004.2000

R. Kopperman and H. Pajoohesh, Representing topologies using partially ordered semigroups, Topology and its applications 249 (2018), 135-149.

https://doi.org/10.1016/j.topol.2018.08.014

R. Kopperman, H. Pajoohesh and T. Richmond, Topologies arising from metrics valued in abelian l-groups, Algebra Universalis 65 (2011), 315-330.

https://doi.org/10.1007/s00012-011-0132-5

J. P. Lasalle, Topology based upon the concept of pseudo-norm, Proc. Nat. Acad. Sci. 27 (1941), 448-451.

https://doi.org/10.1073/pnas.27.9.448

S. G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on Topology and its Applications, ed S. Andima et al., New York Academy of Sciences Annals 728 (1994), 183-197.

https://doi.org/10.1111/j.1749-6632.1994.tb44144.x

H. Pajoohesh, k-metric spaces, Algebra Universalis 69, no. 1 (2013), 27-43.

https://doi.org/10.1007/s00012-012-0218-8

J. Schmidt, Universal and internal properties of some completions of k-join-semilattices and k-join-distributive partially ordered sets, J. Reine Angew. Math. 255 (1972), 8-22.

https://doi.org/10.1515/crll.1972.255.8

J. Schmidt, Each join-completion of a partially ordered set is the solution of a universal problem, J. Austral. Math. Soc. 17 (1974), 406-413.

https://doi.org/10.1017/S1446788700018048

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