Ultradiversities and their spherical completeness

• Autorzy: Mehrabani Gholamreza H. , Nourouzi Kourosh

Identyfikatory

DOI

10.1515/jaa-2020-2020

• Języki publikacji: EN

Abstrakty

EN

Diversities are a generalization of metric spaces which associate a positive real number to every finite subset of the space. In this paper, we introduce ultradiversities which are themselves simultaneously diversities and a sort of generalization of ultrametric spaces. We also give the notion of spherical completeness for ultradiversities based on the balls defined in such spaces. In particular, with the help of nonexpansive mappings defined between ultradiversities, we show that an ultradiversity is spherically complete if and only if it is injective.

Słowa kluczowe

EN

ultradiversity; diversity; ultrametric space; spherical completeness; injectivity

PL

ultraróżnorodność; różnorodność; przestrzeń ultrametryczna; kompletność sferyczna; iniekcyjność

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 2
• Strony: 231--240
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Mehrabani Gholamreza H.

• Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

autor

Nourouzi Kourosh

• Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).