Vol. 107, No. 1, 1983

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Explicit PL self-knottings and the structure of PL homotopy complex projective spaces

Douglas Shelby Meadows

Vol. 107 (1983), No. 1, 189–204
Abstract

We show that certain piecewise-linear homotopy complex projective spaces may be described as a union of smooth manifolds glued along their common boundaries. These boundaries are sphere bundles and the glueing homeomorphisms are piecewise-linear self-knottings on these bundles. Furthermore, we describe these self-knottings very explicitly and obtain information on the groups of concordance classes of such maps.

Mathematical Subject Classification 2000
Primary: 57Q25
Milestones
Received: 24 March 1980
Published: 1 July 1983
Authors
Douglas Shelby Meadows