Scott core theorem

id: scott-core-theorem-320-5652256
title: Scott core theorem
text: In mathematics, the Scott core theorem is a theorem about the finite presentability of fundamental groups of 3-manifolds due to G. Peter Scott,. The precise statement is as follows: Given a 3-manifold with finitely generated fundamental group, there is a compact three-dimensional submanifold, called the compact core or Scott core, such that its inclusion map induces an isomorphism on fundamental groups. In particular, this means a finitely generated 3-manifold group is finitely presentable. A si
brand slug: wiki
category slug: encyclopedia
description: On the finite presentability of fundamental groups of 3-manifolds
original url: https://en.wikipedia.org/wiki/Scott_core_theorem
date created:
date modified: 2023-04-30T14:51:57Z
main entity: {"identifier":"Q7437564","url":"https://www.wikidata.org/entity/Q7437564"}
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fields total: 13
integrity: 14

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