Survey of Oka theory.
Suspension and loop objects and representability of tracks.
Suspension and loop objects in theories and cohomology.
SU-кобордизмы и формальные группы
Symmetric invariants and cohomology of groups.
Symmetric monoidal categories model all connective spectra.
Symmetrie Products of ANR's.
Symmetrien von Mannigfaltigkeiten und rationale Homotopietheorie.
Symmetries in relativistic dynamics of a charged particle
Symmetry analysis of the cylindrical Laplace equation.
Symmetry of manifolds and their lower homotopy groups
Symplectic groups are N-determined 2-compact groups
We show that for n ≥ 3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of Sp(n) among connected finite loop spaces with maximal torus.
Symplectic homology II. A general construction.
Symplectic Homology via Generating Functions.
Systolic invariants of groups and -complexes via Grushko decomposition
We prove a finiteness result for the systolic area of groups. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of -complexes whose systolic area is uniformly bounded. We also show that the number of freely indecomposable such groups grows at least exponentially with the bound on the systolic area. Furthermore, we prove a uniform systolic inequality for all -complexes with unfree fundamental group that improves the previously known bounds in this dimension....
-homotopy and refinement of observation. II: Adding new -homotopy equivalences.
Tautness and applications of the Alexander-Spanier cohomology of -types.
Taylor towers for -modules
We consider Taylor approximation for functors from the small category of finite pointed sets to modules and give an explicit description for the homology of the layers of the Taylor tower. These layers are shown to be fibrant objects in a suitable closed model category structure. Explicit calculations are presented in characteristic zero including an application to higher order Hochschild homology. A spectral sequence for the homology of the homotopy fibres of this approximation is provided.
Taylor towers of symmetric and exterior powers
We study the Taylor towers of the nth symmetric and exterior power functors, Spⁿ and Λⁿ. We obtain a description of the layers of the Taylor towers, and , in terms of the first terms in the Taylor towers of and for t < n. The homology of these first terms is related to the stable derived functors (in the sense of Dold and Puppe) of and . We use stable derived functor calculations of Dold and Puppe to determine the lowest nontrivial homology groups for and .
Teisi in .