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GEOMETRY OF TRUNCATED SYMMETRIC PRODUCTS AND REAL ROOTS OF REAL POLYNOMIALS

Published online by Cambridge University Press:  01 March 1998

JACOB MOSTOVOY
JACOB MOSTOVOY
Affiliation:
Department of Mathematics and Statistics, University of Edinburgh, James Clerk Maxwell Building, King's Buildings, Edinburgh EH9 3JZ Current address: Ostrovityanova 23-2-73, Moscow 117437, Russia.
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Abstract

We study the conditions for truncated symmetric products of manifolds to be manifolds. In particular, we show that suitably defined spaces of systems of real roots of real polynomials are homeomorphic to real projective spaces.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 2 , March 1998 , pp. 159 - 165
Copyright
© The London Mathematical Society 1998

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