-vectors of 3-manifolds.
-absorbing sequences in hyperspaces of subcontinua
Let denote a true dimension function, i.e., a dimension function such that for all . For a space , we denote the hyperspace consisting of all compact connected, non-empty subsets by . If is a countable infinite product of non-degenerate Peano continua, then the sequence is -absorbing in . As a consequence, there is a homeomorphism such that for all , , where denotes the pseudo boundary of the Hilbert cube . It follows that if is a countable infinite product of non-degenerate...
Factorisation is not unique for higher dimensional knots.
Factorizable groups of homeomorphisms
Factors of with infinitely many bad points
Failure of the Dehn Lemma on Contractible 4-Manifolds.
Failure of the Factor Theorem for Borel pre-Hilbert spaces
In every infinite-dimensional Fréchet space X, we construct a linear subspace E such that E is an -subset of X and contains a retract R so that is not homeomorphic to . This shows that Toruńczyk’s Factor Theorem fails in the Borel case.
Faisceaux principaux et plongements
Faithful integral and modular representations of the Klein bottle group
Faithful linear representations of the braid groups
Fake topological Hilbert spaces and characterizations of dimension in terms of negligibility
Families of algebraic curves with nodes
Families of functions dominated by distributions of -classes of mappings
A subsheaf of the sheaf of germs functions over an open subset of is called a sheaf of sub function. Comparing with the investigations of sheaves of ideals of , we study the finite presentability of certain sheaves of sub -rings. Especially we treat the sheaf defined by the distribution of Mather’s -classes of a mapping.
Families of jacobian manifolds and characteristic classes of surface bundles. I
In our previous work we have defined the notion of characteristic classes of surface bundles, which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...
Families of polynomials with total Milnor number constant.
Families of spheres
Familles à un paramètre de pseudo-isotopies de plongements en codimension deux
Fano manifolds of degree ten and EPW sextics
O’Grady showed that certain special sextics in called EPW sextics admit smooth double covers with a holomorphic symplectic structure. We propose another perspective on these symplectic manifolds, by showing that they can be constructed from the Hilbert schemes of conics on Fano fourfolds of degree ten. As applications, we construct families of Lagrangian surfaces in these symplectic fourfolds, and related integrable systems whose fibers are intermediate Jacobians.
Farrell cohomology of low genus pure mapping class groups with punctures.
Fast genügend große irreduzible 3-dimensionale Mannigfaltigkeiten.