Mathematics – Algebraic Topology
Scientific paper
2001-11-02
Geometric aspects of functional analysis, 1--7, Lecture Notes in Math., 1850, Springer, Berlin, 2004.
Mathematics
Algebraic Topology
7 pages, minor corrections
Scientific paper
We prove the following statement motivated by the quaternionic linear
algebra: there is no continuous map from the quaternionic Grassmannian to the
quaternionic projective space such that the pull back of the first Pontryagin
class of the tautological bundle over the projective space is equal to the
first Pontryagin class of the tautological bundle over the Grassmannian.
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