The Omega spectrum for Pengelley’s $BoP$

We compute the homology of the spaces in the Omega spectrum for $BoP$. There is no torsion in $H_{*} (\underline{BoP}_i)$ for $i \geqslant 2$, and things are only slightly more complicated for $i \lt 2$. We find the complete homotopy type of $\underline{BoP}_i$ for $i \leqslant 6$ and conjecture the homotopy type for $i \gt 6$. This completes the computation of all $H_{*} (\underline{MSU}_{*})$.

Keywords

homology, Hopf algebra, cobordism, homotopy type

2010 Mathematics Subject Classification

55N10, 55N22, 55P15

Full Text (PDF format)

Received 27 January 2019

Accepted 12 April 2019

Published 18 September 2019