2022Colloquium MathematicumRequires access

Pseudo-homotopies between maps on g-growth hyperspaces of continua

Félix Capulín, Enrique Castañeda-Alvarado, Leonardo Juárez-Villa, David Maya

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Abstract

We introduce the concept of g-growth hyperspace: if $X$ is a continuum, then a non-empty subset $\mathcal H$ of $2^X$ is a g-growth hyperspace of $X$ provided that if $\mathcal A$ is a subcontinuum of $2^X$ and $\mathcal A \cap \mathcal H \neq \e

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What this paper is about

We introduce the concept of g-growth hyperspace: if $X$ is a continuum, then a non-empty subset $\mathcal H$ of $2^X$ is a g-growth hyperspace of $X$ provided that if $\mathcal A$ is a subcontinuum of $2^X$ and $\mathcal A \cap \mathcal H \neq \e

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Available abstract

We introduce the concept of g-growth hyperspace: if $X$ is a continuum, then a non-empty subset $\mathcal H$ of $2^X$ is a g-growth hyperspace of $X$ provided that if $\mathcal A$ is a subcontinuum of $2^X$ and $\mathcal A \cap \mathcal H \neq \e

Key concepts: Hyperspace, Mathematics, Pure mathematics, Combinatorics, Discrete mathematics

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