Results 61 to 70 of about 97 (83)
On hyperspaces of non-cut sets of continua
Topology and Its Applications, 2017 For a metric continuum \(X\), \(2^X\) denotes the hyperspace of nonempty closed subsets of \(X\), and \(F_{1}(X)\) is the hyperspace of singletons of \(X\), both hyperspaces are endowed with the Hausdorff metric. Given an element \(A \neq X\) in \(2^X\), we say that \(A\): (a) is a non-weak cut set of \(X\) (\(A \in NWC(X)\)) provided that for any two ...
Javier Sánchez-Martínez
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Hyperspaces of two-dimensional continua [PDF]
Fundamenta Mathematicae, 1996 In this interesting paper the authors prove that, for each \(n=1,2,\dots\), each two-dimensional metric space \(X\) contains a one-dimensional subcontinuum \(T_n\) such that the hyperspace \(C(T_n)\) of all subcontinua of \(T_n\) has the dimension \(\geq n\). Therefore, \(X\) contains a compact one-dimensional subset \(T\) such that \(\dim C(T)= \infty\
Levin, Michael, Sternfeld, Yaki
exaly +3 more sources
Problems on hyperspaces of continua, some answers
Topology and its Applications, 2022For a metric continuum \(X\) let the symbol \(F_{n}(X)\) denote the \(n\)-fold symmetric product of \(X\), the symbol \(C_{n}(X)\) the \(n\)-fold hyperspace of \(X\), the symbol \(\mathcal{M}(X)\) the hyperspace of arcs and singletons of \(X\). A continuum \(X\) is said to be \(k\)-mutually aposyndetic provided that given \(k\) distinct points, there ...
Illanes, Alejandro +2 more
openaire +1 more source
Continua with cones homeomorphic to hyperspaces
Topology and Its Applications, 1973 AbstractWe investigate continua with the property that the cone over the continuum is homeomorphic to the hyperspace of subcontinua of the continuum. Among our results are the following theorems: (i)Such a finite-dimensional continuum must be atriodic and one-dimensional; (ii)if such a continuum is hereditarily decomposable, then it must be an arc, an ...
exaly +3 more sources
A Fixed Point Theorem for Hyperspaces of λ Connected Continua [PDF]
Proceedings of the American Mathematical Society, 1975 Suppose that the hyperspace of compact connected subsets C ( X )
Charles L Hagopian
exaly +3 more sources
Uniqueness of the (n,m)-fold hyperspace suspension for continua
Topology and its Applications, 2023Let \(n,m\in\mathbb{N}\) with \(m\leq n\) and let \(X\) be a continuum (a compact, connected and non-empty metric space). The symbols \(C_{n}(X)\) and \(F_{n}(X)\) denote the hyperspaces of all nonempty closed subsets of \(X\) with at most \(n\) components, and with at most \(n\) points of \(X\), respectively, both with the Hausdorff metric. The \((n,m)
Hernández-Valdez, Gerardo +3 more
openaire +1 more source
Some Properties of Hyperspaces with Applications to Continua Theory
Canadian Journal of Mathematics, 1979In 1972, Lelek introduced the notion of Class (W) in his seminar at the University of Houston [see below for definitions of concepts mentioned here]. Since then there has been much interest in classifying and characterizing continua in Class (W). For example, Cook has a result [5, Theorem 4] which implies that any hereditarily indecomposible continuum ...
Grispolakis, J. +2 more
openaire +2 more sources
The dimension of hyperspaces of non-metrizable continua [PDF]
Colloquium Mathematicum, 2012 6 pages, to be published in Colloquium ...
exaly +3 more sources
Making holes in the cone, suspension and hyperspaces of some continua [PDF]
Commentationes Mathematicae Universitatis Carolinae, 2018 A connected space is unicoherent if \(A\cap B\) is connected for every pair of closed connected subsets \(A\) and \(B\) whose union is \(Z\). A point \(z\) in a unicoherent space \(Z\) makes a hole in \(Z\) if \(Z\setminus\{z\}\) is connected and non-unicoherent.
Anaya, José G. +3 more
exaly +2 more sources