Category of manifolds

id: category-of-manifolds-249-18148075
title: Category of manifolds
text: In mathematics, the category of manifolds, often denoted Manp, is the category whose objects are manifolds of smoothness class Cp and whose morphisms are p-times continuously differentiable maps. This is a category because the composition of two Cp maps is again continuous and of class Cp. One is often interested only in Cp-manifolds modeled on spaces in a fixed category A, and the category of such manifolds is denoted Manp(A). Similarly, the category of Cp-manifolds modeled on a fixed space E i
brand slug: wiki
category slug: encyclopedia
description: Category theory
original url: https://en.wikipedia.org/wiki/Category_of_manifolds
date created:
date modified: 2023-09-19T01:47:52Z
main entity: {"identifier":"Q5051847","url":"https://www.wikidata.org/entity/Q5051847"}
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fields total: 13
integrity: 14

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