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Ambient surgery and tangential homotopy quaternionic projective spaces.

Name: Ambient surgery and tangential homotopy quaternionic projective spaces.
Creator: Douglas N. Hertz
Keywords: topology

Ambient surgery and tangential homotopy quaternionic projective spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1969Publisher:American Mathematical Society (AMS)Journal:Transactions of the American Mathematical Society, volume 145, pages 517-545 (issn: 0002-9947, eissn: 1088-6850,

Authors: Douglas N. Hertz;

doi: 10.1090/s0002-9947-1969-0250320-6 , 10.2307/1995083

Ambient surgery and tangential homotopy quaternionic projective spaces.

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Abstract

Introduction. In this paper the word manifold will always mean oriented compact C "-manifold. Unless otherwise specified, all homology and cohomology is taken with integral coefficients, and for Mn an n-manifold, [M] E Hn(M, AM) will denote the orientation class of M. A mapf: M-N between n-manifolds is of degree +1 iff*([M])=[N]. We denote the quaternions by Q, and quaternionic projective n-space, which may be described as the collection of quaternionic lines in Qn+1, by QPn. The underlying set of QPn can also be described as

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topology

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