Pellicer–Covarrubias, Cells in hyperspaces, Topology Appl. Pellicer, The hyperspaces C ( p, X ), Topol. Nadler, Jr., Continuum Theory: An introduction, Monographs and Textbooks in Pure and Applied Mathematics, 158, Marcel Dekker, Inc., New York and Basel, 1992. Nadler, Jr., Hyperspaces of Sets: A Text with Research Questions, Monographs and Textbooks in Pure and Applied Mathematics, 49, Marcel Dekker, Inc., New York and Basel, 1978. Martínez de la Vega, Dimension of n-fold hyperspaces of graphs, Houston J. Nadler, Jr., Hyperspaces, Fundamentals and recent advances, Monographs and Textbooks in Pure and Applied Mathematics, 216, New York. Eberhart, Intervals of continua which are Hilbert Cubes, Proc. Toalá–Enríquez, Uniqueness of the hyperspaces C ( p, X ) in the class of trees, Topology Appl. We also want to thank Professors Fernando Macías Romero and David Herrera Carrasco for asking the questions wich motivated us to write down this paper. there is a homeomorphism f : (X, d) (Y,d ) such that f and f1 are both uniformly. The authors wish to thank Eli Vanney Roblero and Rosemberg Toalá for the fruitful discussions. In this paper we use the Hausdorff metric in hyperspaces for two. We shall determine all the topological types of the hyperspaces 2 X. Nadler, Jr., Hyperspaces of Sets, Pure and Appl. Let X be a 0-dimensional compactum ( compact metric space) and let 2 X denote the hyperspace of X, the set of non-empty closed subsets of X with the Hausdorff metric. Lewis, Most maps of the pseudo-arc are homeomorphisms, Proc. Lelek, On weakly chainable continua, Fund. of non-refinable mappings whose induced mappings are near-homeomorphisms, in. Kennedy, The construction of chaotic homeomorphisms on chainable continua, Topology Appl. For a metric continuum X we denote by 2X and C(X) the hyperspaces of all. Kelley, Hyperspaces of a continuum, Trans. An extremal quasiconformal homeomorphisms in a class of homeomorphisms between two CR 3-manifolds is an one which has the least conformal distortion among this class. Kato, Knaster-like chainable continua admit no expansive homeomorphisms, unpublished. Kato, Chaotic continua of (continuum-wise) expansive homeomorphisms and chaos in the sense of Li and Yorke, Fund. Kato, Continuum-wise expansive homeomorphisms, Canad. In Q, z-sets have topological infinite codimension: a closed subset A of Q is a Z-set if and. We also apply our theory to give a full description of. Kato, Expansive homeomorphisms in continuum theory, Topology Appl. positional property is preserved by homeomorphisms of pairs. Seemingly unrelated to this, we construct an almost totally minimal homeomorphism of the Cantor set. Kato, Expansive homeomorphisms and indecomposability, Fund. Hamilton, A fixed point theorem for the pseudo-arc and certain other metric continua, Proc. Fearnley, Characterizations of the continuous images of the pseudo-arc, Trans. The problem of recognizing the topological structure of hyperspaces is a classical problem on the border line of Infinite-dimensional Topology and the Theory of Hyperspaces, studied by many prominent mathematicians: M. Bing, Concerning hereditarily indecomposable continua, Pacific J. Bing, A homogeneous indecomposable plane continuum, Duke Math. Based on the fact that in the case of two full spaces, equality of their accumulation spectra implies their homeomorphism, it was a matter of simple.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |