-homotopy theory.
-groupoids and homotopy types
-movable and -calm compacta and their images
1. Homologie effective
3-dimensional cohomology of the mod p Steenrod algebra.
3-primary -periodic homotopy groups of .
-homotopy theory of schemes
A 2-category of chronological cobordisms and odd Khovanov homology
We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link diagram as a diagram in a certain 2-category of chronological cobordisms and show that it is 2-commutative: the composition of 2-morphisms along any 3-dimensional subcube is trivial. This allows us to create a chain complex whose homotopy type modulo certain relations is a link invariant. Both the original and the odd Khovanov...
A Based Federer Spectral Sequence and the Rational Homotopy of Function Spaces.
A base-point-free definition of the Lefschetz invariant.
A Bing-Borsuk retract which contains a 2-dimensional absolute retract [Book]
A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
A calculation of Pin+ Bordism groups.
A Cech-Hurewicz Isomorphism Theorem for Movable Metric Compacta.
A Cellular Construction of BP and Other Irreducible Spectra.
A Chain Level Transfer Homomorphism.
A chain rule in the calculus of homotopy functors.
A characterization of harmonic sections and a Liouville theorem
Let be a principal fiber bundle and an associated fiber bundle. Our interest is to study the harmonic sections of the projection of into . Our first purpose is give a characterization of harmonic sections of into regarding its equivariant lift. The second purpose is to show a version of a Liouville theorem for harmonic sections of .
A characterization of MAR and MANR-spaces by extendability of mutations
A characterization of movable compacta.