2020•viXraRequires access

Obtaining a Homeomorphism from an Arbitrary Bijection

Yu-Lin Chou

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Abstract

We wish to demystify the concept of a homeomorphism for anyone who finds the idea ``intangible'', by showing that one can construct a homeomorphism out of any given bijection in a natural way. Some interdisciplinary examples are discussed for concreteness.

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What this paper is about

We wish to demystify the concept of a homeomorphism for anyone who finds the idea ``intangible'', by showing that one can construct a homeomorphism out of any given bijection in a natural way. Some interdisciplinary examples are discussed for concreteness.

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Available abstract

We wish to demystify the concept of a homeomorphism for anyone who finds the idea ``intangible'', by showing that one can construct a homeomorphism out of any given bijection in a natural way. Some interdisciplinary examples are discussed for concreteness.

Key concepts: Bijection, Homeomorphism (graph theory), Concreteness, Construct (python library), Natural (archaeology), Pure mathematics, Mathematics, Philosophy

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