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Displaying similar documents to “Science and Art in Representing the Fifth Dimension”

Generalized S -space-forms

Alicia Prieto-Martín, Luis M. Fernández, Ana M. Fuentes (2013)

Publications de l'Institut Mathématique

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Brouwer Invariance of Domain Theorem

Karol Pąk (2014)

Formalized Mathematics

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In this article we focus on a special case of the Brouwer invariance of domain theorem. Let us A, B be a subsets of εn, and f : A → B be a homeomorphic. We prove that, if A is closed then f transform the boundary of A to the boundary of B; and if B is closed then f transform the interior of A to the interior of B. These two cases are sufficient to prove the topological invariance of dimension, which is used to prove basic properties of the n-dimensional manifolds, and also to prove basic...