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Geometry of Truncated Symmetric Products and Real Roots of Real Polynomials
Author(s) -
Mostovoy Jacob
Publication year - 1998
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609397003883
Subject(s) - mathematics , pure mathematics , mathematics subject classification , projective test , mathematical analysis , algebra over a field
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.