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Extremal balleans

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Extremal balleans

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Protasov, I. (2019). Extremal balleans. Applied General Topology. 20(1):297-305. https://doi.org/10.4995/agt.2019.11260

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Título: Extremal balleans
Autor: Protasov, Igor
Fecha difusión:
Resumen:
[EN] A ballean (or coarse space) is a set endowed with a coarse structure. A ballean X is called normal if any two asymptotically disjoint subsets of X are asymptotically separated. We say that a ballean X is ultra-normal ...[+]
Palabras clave: Ballean , Coarse structure , Bornology , Maximal ballean , Ultranormal ballean , Extremely normal ballean
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.2019.11260
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.11260
Tipo: Artículo

References

T. Banakh and I. Protasov, The normality and bounded growth of balleans, arXiv:1810.07979.

T. Banakh and I. Protasov, Constructing balleans, arXiv: 1812.03935.

D. Dikranjan, I. Protasov, K. Protasova and N. Zava, Balleans, hyperballeans and ideals, Appl. Gen. Topol, to appear. [+]
T. Banakh and I. Protasov, The normality and bounded growth of balleans, arXiv:1810.07979.

T. Banakh and I. Protasov, Constructing balleans, arXiv: 1812.03935.

D. Dikranjan, I. Protasov, K. Protasova and N. Zava, Balleans, hyperballeans and ideals, Appl. Gen. Topol, to appear.

M. Filali and I. Protasov, Slowly oscillating functions on locally compact groups, Appl.Gen. Topology 6 (2005), 67-77.

Ie. Lutsenko and I. Protasov, Thin subsets of balleans, Appl. Gen. Topol. 11 (2010), 89-93.

O. V. Petrenko and I. V. Protasov, Balleans and G-spaces, Ukr. Math. Zh. 64 (2012) ,344-350.

I. V. Protasov, Normal ball structures, Math. Stud. 20 (2003), 3-16.

I. V. Protasov, Coronas of balleans, Topology Appl. 149 (2005), 149-160. https://doi.org/10.1016/j.topol.2004.09.005

I. V. Protasov, Asymptolic proximities, Appl. Gen. Topol. 9 (2008), 189-195.

I. Protasov and T. Banakh, Ball Structures and Colorings of Groups and Graphs, Math.Stud. Monogr. Ser., Vol. 11, VNTL, Lviv, 2003.

I. Protasov and K. Protasova, Lattices of coarse structures, Math. Stud. 48 (2017),115-123.

I. Protasov and M. Zarichnyi, General Asymptopogy, Math. Stud. Monogr. Vol. 12,VNTL, Lviv, 2007.

O. Protasova, Maximal balleans, Appl. Gen. Topol. 7 (2006), 151-163.

J. Roe, Lectures on Coarse Geometry, AMS University Lecture Ser. 31, Providence, RI,2003.cAGT,

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