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Topology of Certain Quotient Spaces of Stiefel Manifolds

  Published:2017-02-08
 Printed: Jun 2017
  • Samik Basu,
    Department of Mathematics, Vivekananda University, Belur, Howrah 711202, West Bengal, India
  • B Subhash,
    Indian Institute of Science Education and research Tirupati Mangalam, Tirupati-517507, Andra Pradesh, India
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Abstract

We compute the cohomology of the right generalised projective Stiefel manifolds. Following this, we discuss some easy applications of the computations to the ranks of complementary bundles, and bounds on the span and immersibility.
Keywords: projective Stiefel manifold, span, spectral sequence projective Stiefel manifold, span, spectral sequence
MSC Classifications: 55R20, 55R25, 57R20 show english descriptions Spectral sequences and homology of fiber spaces [See also 55Txx]
Sphere bundles and vector bundles
Characteristic classes and numbers
55R20 - Spectral sequences and homology of fiber spaces [See also 55Txx]
55R25 - Sphere bundles and vector bundles
57R20 - Characteristic classes and numbers
 

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