Connected sum

id: connected-sum-273-10522324
title: Connected sum
text: In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the classification of closed surfaces. More generally, one can also join manifolds together along identical submanifolds; this generalization is often called the fiber sum. There is also a closely related notion of a connected sum on knots, called the knot sum or com
brand slug: wiki
category slug: encyclopedia
description: Way to join two given mathematical manifolds together
original url: https://en.wikipedia.org/wiki/Connected_sum
date created:
date modified: 2024-04-06T22:40:54Z
main entity: {"identifier":"Q1890389","url":"https://www.wikidata.org/entity/Q1890389"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/52/Connected_sum.svg","width":324,"height":196}
fields total: 13
integrity: 15

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