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OALib Journal期刊
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Continuos g-contraíbles

Keywords: continua, contractible, g-contractible, cone, homotopy, uniformly path connected, dendroid..

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Abstract:

abstract. a continuum x is said to be g-contractible provided that there is a surjective map ? : x → x which is homotopic to a constant map. in this article, we will study g-contractible continua. answering a particular case of a proposed question in the article "on g-contractibility of continua" [3], we will show that there exists a non-g-contractible continuum x such that its countable product x? is g-contractible.

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