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 $F_2(X)$.
Citation
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