Obtaining a Homeomorphism from an Arbitrary Bijection
Yu-Lin Chou
Abstract
Yu-Lin Chou
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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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