Homotopy equivalences and mapping torus projections
Homotopy equivalent group representations and Picard groups of the burnside ring and the character ring.
Homotopy for small multifunctions
Homotopy groups of arc complements in or Q
Homotopy Groups of H-Spaces I
Homotopy groups of small categories and derived functors
Homotopy Inverses for Nerve.
Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.
Homotopy Lie algebras and fundamental groups via deformation theory
We formulate first results of our larger project based on first fixing some easily accessible invariants of topological spaces (typically the cup product structure in low dimensions) and then studying the variations of more complex invariants such as (the homotopy Lie algebra) or (the graded Lie algebra associated to the lower central series of the fundamental group). We prove basic rigidity results and give also an application in low-dimensional topology.
Homotopy Lie algebras and Poincaré series of algebras with monomial relations.
Homotopy Lie algebras; lower central series and the Koszul property.
Homotopy Limits and Colimits.
Homotopy Linear Involutions on Spheres in the Unstable Range.
Homotopy negligible subsets of bundles
Homotopy Nilpotency and Localization.
Homotopy nilpotent Lie groups have no torsion in homology.
Homotopy operations and the obstructions to being an H-space.
Homotopy orbits of free loop spaces
Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors and ℓ(R) together with algebra homomorphisms and . When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
Homotopy over and under
Homotopy preserving functors