
The 3-local 𝑡𝑚𝑓-homology of 𝐵Σ₃
Author(s) -
Michael A. Hill
Publication year - 2007
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-07-08937-x
Subject(s) - algorithm , annotation , artificial intelligence , computer science
In this paper, we introduce a Hopf algebra, developed by the author and André Henriques, which is usable in the computation of the t m f tmf -homology of a space. As an application, we compute the t m f tmf -homology of B Σ 3 B\Sigma _3 in a manner analogous to Mahowald and Milgram’s computation of the k o ko -homology R P ∞ \mathbb RP^{\infty } .