Abstract
In this paper, we classify the homotopy types of spaces of monic polynomials which have no -fold real roots or spaces of -tuples of monic polynomials which have no common real roots, by using the "scanning method"([9]) and Vassiliev's spectral sequence ([15], [16]). In particular, we show that such spaces are finite dimensional models for the infinite dimensional loop space of spheres.
Citation
Andrzej KOZLOWSKI. Kohhei YAMAGUCHI. "Topology of complements of discriminants and resultants." J. Math. Soc. Japan 52 (4) 949 - 959, October, 2000. https://doi.org/10.2969/jmsj/05240949
Information