Pseudo-contractive mappings and the Leray-Schauder boundary condition
Claudio H. Morales (1979)
Commentationes Mathematicae Universitatis Carolinae
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Claudio H. Morales (1979)
Commentationes Mathematicae Universitatis Carolinae
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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,...
K. Orlov, M. Stojanović (1974)
Matematički Vesnik
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L. G. Oversteegen, E. D. Tymchatyn (1986)
Banach Center Publications
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Kazuhiro Kawamura, Janusz Prajs (1991)
Fundamenta Mathematicae
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Alejandro Illanes (2012)
Commentationes Mathematicae Universitatis Carolinae
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Let be a continuum. Two maps are said to be pseudo-homotopic provided that there exist a continuum , points and a continuous function such that for each , and . In this paper we prove that if is the pseudo-arc, is one-to-one and is pseudo-homotopic to , then . This theorem generalizes previous results by W. Lewis and M. Sobolewski.
H. B. Potoczny (1984)
Matematički Vesnik
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Rajab Ali Borzooei, Arsham Borumand Saeid, Akbar Rezaei, Akefe Radfar, Reza Ameri (2013)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets. ...