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March 2016 Embedding products in symmetric products of continua
Enrique Castañeda-Alvarado, Javier Sánchez-Martínez
Tsukuba J. Math. 39(2): 199-206 (March 2016). DOI: 10.21099/tkbjm/1461270056

Abstract

Let $X$ be a continuum. For each natural number $n, F_n(X)$ is the $n^{th}$-symmetric product of $X$ and $X^n$ is the product of $X$ with itself $n$ times. In this paper we consider the problem of determining the continua $X$ such that $X^n$ can be embedded in $F_n(X)$. Moreover, we characterize finite graphs $X$ for which $X^2$ is embeddable in $F_2(X)$.

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Enrique Castañeda-Alvarado. Javier Sánchez-Martínez. "Embedding products in symmetric products of continua." Tsukuba J. Math. 39 (2) 199 - 206, March 2016. https://doi.org/10.21099/tkbjm/1461270056

Information

Published: March 2016
First available in Project Euclid: 21 April 2016

zbMATH: 1345.54026
MathSciNet: MR3490484
Digital Object Identifier: 10.21099/tkbjm/1461270056

Subjects:
Primary: 54B10, 54B20, 54C25, 54F15

Rights: Copyright © 2016 University of Tsukuba, Institute of Mathematics

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Vol.39 • No. 2 • March 2016
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