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We prove that a continuum X is an absolute retract if and only if X is an absolute extensor. We prove that X is an absolute retract if and only if X is a contractible absolute neighborhood retract. We prove that a continuum is an absolute retract if and only if it admits a convex structure.

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Absolute Retracts

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  • 发表日期：

    2025年

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  • Alejandro Illanes

摘要

We prove that a continuum X is an absolute retract if and only if X is an absolute extensor. We prove that X is an absolute retract if and only if X is a contractible absolute neighborhood retract. We prove that a continuum is an absolute retract if and only if it admits a convex structure.