Exotische Sphären als Umgebungsränder in speziellen komplexen Räumen.
Expansiveness on Compact Piecewise Linear Manifolds.
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot.
Exponential separation in 4-manifolds.
Extended Bloch group and the Cheeger-Chern-Simons class.
Extended moduli spaces of flat connections on Riemann surfaces.
Extending Combinatorial PL Structures on Stratified Spaces.
Extending immersed circles in the sphere to immersed disks in the ball.
Extending Maps in Hilbert Manifolds
Certain results on extending maps taking values in Hilbert manifolds by maps which are close to being embeddings are presented. Sufficient conditions on a map under which it is extendable by an embedding are given. In particular, it is shown that if X is a completely metrizable space of topological weight not greater than α ≥ ℵ₀, A is a closed set in X and f: X → M is a map into a manifold M modelled on a Hilbert space of dimension α such that , then for every open cover of M there is a map g:...
Extending the Dehn quandle to shears and foliations on the torus
The Dehn quandle, Q, of a surface was defined via the action of Dehn twists about circles on the surface upon other circles. On the torus, 𝕋², we generalize this to show the existence of a quandle Q̂ extending Q and whose elements are measured geodesic foliations. The quandle action in Q̂ is given by applying a shear along such a foliation to another foliation. We extend some results which related Dehn quandle homology to the monodromy of Lefschetz fibrations. We apply certain quandle 2-cycles...
Extension des immersions en codimension 1
Extension of a homeomorphism of a topological circumference
Extension of complexes of groups
Complexes of groups over ordered simplicial complexes are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups with coefficients in a -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or abelian kernel....
Extension of cross-sections and a generalized de Rham theorem.
Extension properties of Stone-Čech coronas and proper absolute extensors
We characterize, in terms of X, the extensional dimension of the Stone-Čech corona βX∖X of a locally compact and Lindelöf space X. The non-Lindelöf case is also settled in terms of extending proper maps with values in , where L is a finite complex. Further, for a finite complex L, an uncountable cardinal τ and a -set X in the Tikhonov cube we find a necessary and sufficient condition, in terms of , for X to be in the class AE([L]). We also introduce a concept of a proper absolute extensor and...
Extensions de représentations induites des produits semi-directs.
Extensions essentielles d'algèbres de Lie classiques de dimensions infinies
Extensions of G-maps and Euclidean G-retracts.
Extensions through codimension one to sense preserving mappings
The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition...