Abstract
Let $P_{n}^{d}(\mathbb{R})$ denote the space consisiting of all monic polynomials $f(z) \in \mathbb{R}[z]$ of degree $d$ which have no real roots of multplicity $\geq n$. In this paper we study the homotopy types of the spaces $P_{n}^{d}(\mathbb{R})$ for the case $n = 3$.
Citation
Koichi Hirata. Kohhei Yamaguchi. "Spaces of polynomials without 3-fold real roots." J. Math. Kyoto Univ. 42 (3) 509 - 516, 2002. https://doi.org/10.1215/kjm/1250283847
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