This article is cited in 1 paper

Contractibility of sparse clouds

S. A. Bogatyy

Lomonosov Moscow State University

Abstract: It is shown that the so-called sparse clouds contract to a point in themselves, which gives a partial proof of Gromov's remark that any cloud is contractible.

Keywords: metric space, Gromov–Hausdorff distance.

UDC: 514.1

MSC: 51F99

Received: 14.04.2023
Revised: 27.05.2024

DOI: 10.4213/mzm13541

 English version: Mathematical Notes, 2025, 117:6, 922–930

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