On pseudo-open mappings

Zaremba, D.

Displaying similar documents to “On pseudo-open mappings”

Pseudo-contractive mappings and the Leray-Schauder boundary condition

Claudio H. Morales (1979)

Commentationes Mathematicae Universitatis Carolinae

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Factorwise rigidity of embeddings of products of pseudo-arcs

Mauricio E. Chacón-Tirado, Alejandro Illanes, Rocío Leonel (2012)

Colloquium Mathematicae

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An embedding from a Cartesian product of two spaces into the Cartesian product of two spaces is said to be factorwise rigid provided that it is the product of embeddings on the individual factors composed with a permutation of the coordinates. We prove that each embedding of a product of two pseudo-arcs into itself is factorwise rigid. As a consequence, if X and Y are metric continua with the property that each of their nondegenerate proper subcontinua is homeomorphic to the pseudo-arc,...

Pseudo-integral of differential equations of the n-th order

K. Orlov, M. Stojanović (1974)

Matematički Vesnik

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On hereditarily indecomposable compacta

L. G. Oversteegen, E. D. Tymchatyn (1986)

Banach Center Publications

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Another application of the Effros theorem to the pseudo-arc

Kazuhiro Kawamura, Janusz Prajs (1991)

Fundamenta Mathematicae

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Pseudo-homotopies of the pseudo-arc

Alejandro Illanes (2012)

Commentationes Mathematicae Universitatis Carolinae

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Let $X$ be a continuum. Two maps $g, h : X \to X$ are said to be pseudo-homotopic provided that there exist a continuum $C$ , points $s, t \in C$ and a continuous function $H : X \times C \to X$ such that for each $x \in X$ , $H (x, s) = g (x)$ and $H (x, t) = h (x)$ . In this paper we prove that if $P$ is the pseudo-arc, $g$ is one-to-one and $h$ is pseudo-homotopic to $g$ , then $g = h$ . This theorem generalizes previous results by W. Lewis and M. Sobolewski.

A class of spaces in which compactness and finiteness are equivalent

H. B. Potoczny (1984)

Matematički Vesnik

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