Pseudo-homotopies of the pseudo-arc

Alejandro Illanes

Displaying similar documents to “Pseudo-homotopies of the pseudo-arc”

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,...

Continuous pseudo-hairy spaces and continuous pseudo-fans

Janusz R. Prajs (2002)

Fundamenta Mathematicae

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A compact metric space X̃ is said to be a continuous pseudo-hairy space over a compact space X ⊂ X̃ provided there exists an open, monotone retraction $r : X ̃ \binom{o n t o}{⟶} X$ such that all fibers $r^{- 1} (x)$ are pseudo-arcs and any continuum in X̃ joining two different fibers of r intersects X. A continuum $Y_{X}$ is called a continuous pseudo-fan of a compactum X if there are a point $c \in Y_{X}$ and a family ℱ of pseudo-arcs such that $⋃ ℱ = Y_{X}$ , any subcontinuum of $Y_{X}$ intersecting two different elements of ℱ contains c, and ℱ is homeomorphic...

On hereditarily indecomposable compacta

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

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

K. Orlov, M. Stojanović (1974)

Matematički Vesnik

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Compactifying the space of homeomorphisms

Judy Kennedy (1988)

Colloquium Mathematicae

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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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On subspaces of pseudo-radial spaces

Jin Yuan Zhou (1993)

Commentationes Mathematicae Universitatis Carolinae

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It is proved that, under the Martin’s Axiom, every $T_{1}$ -space with countable tightness is a subspace of some pseudo-radial space. We also give several characterizations of subspaces of pseudo-radial spaces and conclude that being a subspace of a pseudo-radial space is a local property.

A class of spaces in which compactness and finiteness are equivalent

H. B. Potoczny (1984)

Matematički Vesnik

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Fredholmness of pseudo-differential operators with nonregular symbols

Kazushi Yoshitomi (2023)

Czechoslovak Mathematical Journal

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We establish the Fredholmness of a pseudo-differential operator whose symbol is of class $C^{0, σ}$ , $0 < σ < 1$ , in the spatial variable. Our work here refines the work of H. Abels, C. Pfeuffer (2020).

On a period of elements of pseudo-BCI-algebras

Grzegorz Dymek (2015)

Discussiones Mathematicae - General Algebra and Applications

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The notions of a period of an element of a pseudo-BCI-algebra and a periodic pseudo-BCI-algebra are defined. Some of their properties and characterizations are given.