Geometry & Topology Monographs 10 (2007) 227–235
DOI: 10.2140/gtm.2007.10.227
arXiv: 0903.4597
Let RXk,nl be the space consisting of all (n+1)–tuples (p0 (z),…,pn(z)) of monic polynomials over R of degree k and such that there are at most l roots common to all pi(z). In this paper, we prove a stable splitting of RXk,nl.
real polynomial, loop space, stable splitting
Primary: 55P15
Secondary: 55P35, 58D15
Received: 13 August 2004 Revised: 9 May 2005 Published: 29 January 2007
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