# Florencio Corona-VázquezUniversidad Autónoma de Chiapas (UNACH) · Facultad de Ciencias en Física y Matemáticas (FCFM)

Florencio Corona-Vázquez

## About

16

Publications

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Introduction

**Skills and Expertise**

## Publications

Publications (16)

In this paper, we introduce some versions of relative connectedness of subspaces of a topological space and we give some facts and relations among them. We prove that these relative versions satisfy some of the classical properties of connectedness. Additionally, we apply our results to the theory of hyperspaces, aiming to address a general problem...

Given a continuum X and p∈X, we consider the hyperspace C(p,X) of all subcontinua of X containing p. For a family of continua C, an element X∈C, and p∈X, we say that (X,p) has unique hyperspace C(p,X) relative to C if for each Y∈C and q∈Y such that C(p,X) and C(q,Y) are homeomorphic, there is a homeomorphism between X and Y sending p to q. In this...

Given a continuum X and p∈X, we consider the hyperspace HS(p,X) defined as the quotient space C(X)/C(p,X), where C(X) is the hyperspace of subcontinua of X and C(p,X) is the subspace of all elements in C(X) containing p. For a mapping f:X→Y between continua, let C(f):C(X)→C(Y) given by C(f)(A)=f(A), this mapping induces a natural function HS(p,f):H...

Given a continuum $X$ and $p\in X$, we will consider the hyperspace $C(p,X)$ of all subcontinua of $X$ containing $p$. Given a family of continua $\mathcal{C}$, a continuum $X\in\mathcal{C}$ and $p\in X$, we say that $(X,p)$ has unique hyperspace $C(p,X)$ relative to $\mathcal{C}$ if for each $Y\in\mathcal{C}$ and $q\in Y$ such that $C(p,X)$ and $C...

Given a continuum X and p∈X, we will consider the hyperspace C(p,X) of all subcontinua of X containing p. Given a family of continua C, a continuum X∈C and p∈X, we say that (X,p) has unique hyperspace C(p,X) relative to C if for each Y∈C and q∈Y such that C(p,X) and C(q,Y) are homeomorphic, then there is an homeomorphism between X and Y sending p t...

Given a continuum $X$ and $p\in X$, we will consider the hyperspace $C(p,X)$ of all subcontinua of $X$ containing $p$. Given a family of continua $\mathcal{C}$, a continuum $X\in\mathcal{C}$ and $p\in X$, we say that $(X,p)$ has unique hyperspace $C(p,X)$ relative to $\mathcal{C}$ if for each $Y\in\mathcal{C}$ and $q\in Y$ such that $C(p,X)$ and $C...

Let $X$ be a continuum and let $C(X)$ denote the hyperspace of subcontinua of $X$, endowed with the Hausdorff metric. For $p\in X$, define the hyperspace $C(p,X)=\{A\in C(X):p\in A\}$ as a subspace of $C(X)$. In this paper we introduced the quotient space $HS(p,X)=C(X)/C(p,X)$. We present some general properties of $HS(p,X)$ and we study the relati...

Given a continuum $X$ and $p\in X$, we will consider the hyperspace $C(p,X)$ of all subcontinua of $X$ containing $p$ and the family $K(X)$ of all hyperspaces $C(q,X)$, where $q\in X$. In this paper we give some conditions on the points $p,q\in X$ to guarantee that $C(p,X)$ and $C(q,X)$ are homeomorphic, for finite graphs $X$. Also, we study the re...

Given a continuum X and p∈X, we will consider the hyperspace C(p,X) of all subcontinua of X containing p and the family K(X) of all hyperspaces C(q,X), where q∈X. In this paper we give some conditions on the points p,q∈X to guarantee that C(p,X) and C(q,X) are homeomorphic, for finite graphs X. Also, we study the relationship between the homogeneit...

For each positive integer n and a continuum X, we will denote by Fn(X) the nth-symmetric product of X and by Xⁿ the product of X with itself n times. In this paper we study finite graphs X such that Xⁿ can be embedded in Fn(X). We also present a geometric model of the third symmetric product of a simple triod.

Given a metric continuum X and a positive integer n, let Fn(X) be the hyperspace of nonempty sets of X with at most n points and let Cone(X) be the topological cone of X. We say that a continuum X is cone-embeddable in Fn(X) if there is an embedding h from Cone(X) into Fn(X) such that h(x,0)={x} for each x in X. In this paper, we characterize trees...

In this paper we partially answer a problem by S. B. Nadler jun from [West, Thelma (ed.), Continuum theory and dynamical systems. Lect. Notes Pure Appl. Math. 149, 201–229 (1993; Zbl 0819.54015)] to find an intrinsic characterization of Class(U ^). We prove that, for the class of circle-like continua, Class(U ^) and Class(W) coincide. Editorial rem...

In this paper we introduce some classes of continua, ClassCone, ClassSus, and ClassHS, and we study the relations among them and others such as Class(U), Class(Û), and Class(W).

We present some results and examples concerning the fixed point property for hyperspace suspension.