-space structure on pointed mapping spaces.
Harmonic maps from surfaces to certain Kaehler manifolds.
Higher-order Nielsen numbers.
Holonomy groups of flat manifolds with the property
Let M be a flat manifold. We say that M has the property if the Reidemeister number R(f) is infinite for every homeomorphism f: M → M. We investigate relations between the holonomy representation ρ of M and the property. When the holonomy group of M is solvable we show that if ρ has a unique ℝ-irreducible subrepresentation of odd degree then M has the property. This result is related to Conjecture 4.8 in [K. Dekimpe et al., Topol. Methods Nonlinear Anal. 34 (2009)].
Homological category weights and estimates for
Homological characterization of boundary set complements
Homological fixed point theorems
Homological fixed point theorems. II
Homological fixed point theorems. III
Homological Identities for Closed Orbits.
Homological methods in fixed-point theory of multi-valued maps [Book]
Homological Transfers for Orbit Space Projections.
Homologie des groupes et généralisations du théorème de Borsuk-Ulam
We show that many generalisations of Borsuk-Ulam's theorem follow from an elementary result of homological algebra.
Homotopical dynamics.
Homotopy actions, cyclic maps and their duals.
Homotopy classes that are trivial mod .
Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.
Homotopy separators and mappings into cubes
Homotopy types of orbit spaces and their self-equivalences for the periodic groups and .
Hurewicz-Serre theorem in extension theory
The paper is devoted to generalizations of the Cencelj-Dranishnikov theorems relating extension properties of nilpotent CW complexes to their homology groups. Here are the main results of the paper: Theorem 0.1. Let L be a nilpotent CW complex and F the homotopy fiber of the inclusion i of L into its infinite symmetric product SP(L). If X is a metrizable space such that for all k ≥ 1, then and for all k ≥ Theorem 0.2. Let X be a metrizable space such that dim(X) < ∞ or X ∈ ANR. Suppose...