Induced mappings on symmetric products of Hausdorff spaces-Reference-Cited by-同舟云学术

Induced mappings on symmetric products of Hausdorff spaces

Published:2022-10-01 Issue:5 Volume:72 Page:1287-1300
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

García Yolanda¹,Maya David¹

Affiliation:

1. Facultad de Ciencias , Universidad Autónoma del Estado de México Instituto Literario 100 , Col. Centro, Toluca, CP 50000 , Toluca , Mexico

Abstract

Abstract The symbol 𝓕 n (X) denotes the hyperspace of all nonempty subsets of a Hausdorff space X having at most n points. This hyperspace is endowed with the Vietoris topology. For a mapping between Hausdorff spaces f : X → Y, define the induced mapping fn : 𝓕 n (X) → 𝓕 n (Y) by fn (A) = f(A) (the image of A under f). In this paper, we study the relationship between the condition f belongs to a class of mappings between Hausdorff spaces 𝕄 and the condition fn belongs to 𝕄.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2022-0088/pdf

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