Peripheral subgroup
id:
peripheral-subgroup-175-2723162
title:
Peripheral subgroup
text:
In algebraic topology, a peripheral subgroup for a space-subspace pair X ⊃ Y is a certain subgroup of the fundamental group of the complementary space, π1(X − Y). Its conjugacy class is an invariant of the pair (X,Y). That is, any homeomorphism (X, Y) → (X′, Y′) induces an isomorphism π1(X − Y) → π1(X′ − Y′) taking peripheral subgroups to peripheral subgroups. A peripheral subgroup consists of loops in X − Y which are peripheral to Y, that is, which stay "close to" Y (except when passing to and
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Peripheral_subgroup
date created:
2012-05-18T21:55:44Z
date modified:
2024-09-03T02:22:23Z
main entity:
{"identifier":"Q7168711","url":"https://www.wikidata.org/entity/Q7168711"}
image:
fields total:
13
integrity:
14