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The sphere operad
Author(s) -
Arone Gregory,
Kankaanrinta Marja
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdt077
Subject(s) - mathematics , commutative property , space (punctuation) , pure mathematics , construct (python library) , computer science , programming language , operating system
We construct an operad in pointed spaces, whose n th space is the n −1‐sphere (and call it the sphere operad). All the structure maps are homeomorphisms, so it is a cooperad as well. There is a natural coaction of the sphere operad on S 1 , extending the coaction of the commutative operad.