Existence of foliations on 4-manifolds.
Exotic ANR's via null decompositions of Hilbert cube manifolds
Exotic structures on 4-manifolds detected by spectral invariants.
Experimental evidence for the Volume Conjecture for the simplest hyperbolic non-2-bridge knot.
Exponential separation in 4-manifolds.
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:...
Extension des immersions en codimension 1
Extension of a homeomorphism of a topological circumference
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...