GEOMETRY OF TRUNCATED SYMMETRIC PRODUCTS AND REAL ROOTS OF REAL POLYNOMIALS

GEOMETRY OF TRUNCATED SYMMETRIC PRODUCTS AND REAL ROOTS OF REAL POLYNOMIALS

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. 1991 Mathematics Subject Classification 57N99, 26C10.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 1998-03, Vol.30 (2), p.159-165
1. Verfasser: MOSTOVOY, JACOB
Format: Artikel
Sprache:eng
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Zusammenfassung: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. 1991 Mathematics Subject Classification 57N99, 26C10.
ISSN:0024-6093
1469-2120
DOI:10.1112/S0024609397003883