Compactness and local compactness of the proximal hyperspace

Marco Rosa

EN

Compactness and local compactness of the proximal hyperspace

Abstract

Compactness and local compactness of the hyperspace endowed with both the Vietoris topology and the Hausdorff metric topology, have been characterized by Costantini, Levi and Pelant. Our aim is to characterize these two properties for the proximal topology, which is related to both of the previous topologies.

Keywords

Hyperspace,Proximal Topology,Local Compactness,Kuratowski Convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Marco Rosa ^* This is me

Publication Date

October 1, 2016

Submission Date

May 14, 2015

Acceptance Date

January 7, 2016

Published in Issue

Year 2016 Volume: 45 Number: 5

IZ

https://izlik.org/JA44DU87JW

Cite

RIS / Bibtex

APA

Rosa, M. (2016). Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics, 45(5), 1435-1440. https://izlik.org/JA44DU87JW

AMA

1.Rosa M. Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1435-1440. https://izlik.org/JA44DU87JW

Chicago

Rosa, Marco. 2016. “Compactness and Local Compactness of the Proximal Hyperspace”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1435-40. https://izlik.org/JA44DU87JW.

EndNote

Rosa M (October 1, 2016) Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics 45 5 1435–1440.

IEEE

[1]M. Rosa, “Compactness and local compactness of the proximal hyperspace”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1435–1440, Oct. 2016, [Online]. Available: https://izlik.org/JA44DU87JW

ISNAD

Rosa, Marco. “Compactness and Local Compactness of the Proximal Hyperspace”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 1, 2016): 1435-1440. https://izlik.org/JA44DU87JW.

JAMA

1.Rosa M. Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics. 2016;45:1435–1440.

MLA

Rosa, Marco. “Compactness and Local Compactness of the Proximal Hyperspace”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, Oct. 2016, pp. 1435-40, https://izlik.org/JA44DU87JW.

Vancouver

1.Marco Rosa. Compactness and local compactness of the proximal hyperspace. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1435-40. Available from: https://izlik.org/JA44DU87JW