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We show important examples of continua, including the pseudo-arc. We prove that every continuum can be embedded in the Hilbert cube. We describe two useful ways to construct continua: using decreasing sequences of continua and using decompositions. We prove the Brouwer Reduction Theorem.

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Introduction

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  • 发表日期：

    2025年

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  • Alejandro Illanes

摘要

We show important examples of continua, including the pseudo-arc. We prove that every continuum can be embedded in the Hilbert cube. We describe two useful ways to construct continua: using decreasing sequences of continua and using decompositions. We prove the Brouwer Reduction Theorem.