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NIELSEN COINCIDENCE THEORY OF FIBRE-PRESERVING MAPS AND DOLD`S FIXED POINT INDEX
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2009)
Let M -> B, N -> B be fibrations and f(1), f(2): M -> N be a pair of fibre-preserving maps. Using normal bordism techniques we define an invariant which is an obstruction to deforming the pair f(1), f(2) over B to a ...
On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
(Academic Press Inc Elsevier Science, 2017-01)
In 1969 R.H. Bing asked the following question: Is there a compact two-dimensional polyhedron with the fixed point property which has even Euler characteristic? In this paper we prove that there are no spaces with these ...
Minimal Nielsen Root Classes and Roots of Liftings
(HINDAWI PUBLISHING CORPORATIONNEW YORK, 2009)
Given a continuous map f : K -> M from a 2-dimensional CW complex into a closed surface, the Nielsen root number N(f) and the minimal number of roots mu(f) of f satisfy N(f) <= mu(f). But, there is a number mu(C)(f) ...
Yang-mills Two-point Functions In Linear Covariant Gauges
(AMER PHYSICAL SOCCOLLEGE PK, 2015)
Wecken type problems for self-maps of the Klein bottle
(2006-07)
We consider various problems regarding roots and coincidence points for maps into the Klein bottle . The root problem where the target is and the domain is a compact surface with non-positive Euler characteristic is ...
A Projected Gradient Method For Optimization Over Density Matrices
(Taylor and Francis Ltd., 2016)