Reflexive Garben vom Rang r > 2 auf ...
Regular differential forms on stratified spaces.
Relations de conjugaison et de cobordisme entre certains feuilletages
Relationship among various Vietoris-type and microsimplicial homology theories
In this paper, we clarify the relationship among the Vietoris-type homology theories and the microsimplicial homology theories, where the latter are nonstandard homology theories defined by M.C. McCord (for topological spaces), T. Korppi (for completely regular topological spaces) and the author (for uniform spaces). We show that McCord’s and our homology are isomorphic for all compact uniform spaces and that Korppi’s and our homology are isomorphic for all fine uniform spaces. Our homology shares...
Relative derived functors and the homology of groups
Remarks on the cohomological classification of certain Fréchet bundles.
Report on K-theory for convenient algebras. II.
Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
Retractions onto the Space of Continuous Divergence-free Vector Fields
We prove that there does not exist a uniformly continuous retraction from the space of continuous vector fields onto the subspace of vector fields whose divergence vanishes in the distributional sense. We then generalise this result using the concept of -charges, introduced by De Pauw, Moonens, and Pfeffer: on any subset satisfying a mild geometric condition, there is no uniformly continuous representation operator for -charges in .
Rigidity and crystallographic groups, I.
Second variational derivative of local variational problems and conservation laws
We consider cohomology defined by a system of local Lagrangian and investigate under which conditions the variational Lie derivative of associated local currents is a system of conserved currents. The answer to such a question involves Jacobi equations for the local system. Furthermore, we recall that it was shown by Krupka et al. that the invariance of a closed Helmholtz form of a dynamical form is equivalent with local variationality of the Lie derivative of the dynamical form; we remark that...
Secondary cohomology and the Steenrod square.
Shapes of compacta and ANR-systems
Sheaves of Holomorphic Functions on Infinite Dimensional Vector Spaces.
Sheaves on Fixed Point Sets and Equivariant Cohomology.
Signature modulo 16, invariants de Kervaire généralisés et nombres caractéristiques dans la -théorie réelle
Simplicial homology of preconvexity spaces
Singular homology groups of one-dimensional Peano continua
Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.
Singular homology of abstract algebraic varieties.
Singular homology of n-cell-like continua