Mathematics – Algebraic Topology
Scientific paper
2003-01-14
Mathematics
Algebraic Topology
This is a version of the paper published as a preprint of Max Planck Institute for Mathematics. Several misprints are correcte
Scientific paper
In the present paper we consider a special class of locally trivial bundles with fiber a matrix algebra. On the set of such bundles over a finite $CW$-complex we define a relevant equivalence relation. The obtained stable theory gives us a geometric description of the H-space structure $\BSU_\otimes$ on $\BSU$ related to the tensor product of virtual $\SU$-bundles of virtual dimension 1.
Ershov A. V.
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