Homotopy Groups of H-Spaces I
Homotopy Lie algebra of classifying spaces for hyperbolic coformal 2-cones.
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
Homotopy properties of decomposition spaces
Homotopy properties of loop spaces
Homotopy properties of pathwise connected continua
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Homotopy splittings involving G and G/O.
Homotopy theory induced by cones.
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal models of...