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Homotopy Stability of Spaces of Non-resultant Systems of Bounded Multiplicity with Real Coefficients by Kozlowski, Andrzej; Yamaguchi, Kohhei is a scholarly article available to read on EtoBox.

What is Homotopy Stability of Spaces of Non-resultant Systems of Bounded Multiplicity with Real Coefficients about?

We continue our study of the topology of the spaces of $m$ tuples of real polynomials with common degree $d$ and without common roots of multiplicity $n$, and in particular their stability properties with respect to $d$. In an earlier paper we have proved a homotopy stability result and determined the stable homotopy types of such spaces in the case $m n >=4$. In the case $m n= 3$ we could only prove stability in homology. In this paper we prove the corresponding homotopy result for the case $(m,n)=(3,1)$. in the appendix we also deal with the case ${m,n)={1,2}$.

Author

Kozlowski, Andrzej; Yamaguchi, Kohhei

Published

2023

Language

EN