Displaying 661 – 680 of 1237

Showing per page

On boundary slopes of immersed incompressible surfaces

Mark D. Baker (1996)

Annales de l'institut Fourier

Let M be a compact, orientable, irreducible 3-manifold with M a torus. We show that there can be infinitely many slopes on M realized by the boundary curves of immersed, incompressible, - incompressible surfaces in M which are embedded in a neighborhood of M .

On closed sets with convex projections in Hilbert space

Stoyu Barov, Jan J. Dijkstra (2007)

Fundamenta Mathematicae

Let k be a fixed natural number. We show that if C is a closed and nonconvex set in Hilbert space such that the closures of the projections onto all k-hyperplanes (planes with codimension k) are convex and proper, then C must contain a closed copy of Hilbert space. In order to prove this result we introduce for convex closed sets B the set k ( B ) consisting of all points of B that are extremal with respect to projections onto k-hyperplanes. We prove that k ( B ) is precisely the intersection of all k-imitations...

On condition ( a f ) of a stratified mapping

Satoshi Koike (1983)

Annales de l'institut Fourier

For a stratified mapping f , we consider the condition ( a f ) concerning the kernel of the differential of f . We show that the condition ( a f ) is equivalent to the condition ( a f S ) which has a more obvious geometric content.

On Countable Dense and Strong Local Homogeneity

Jan van Mill (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.

Currently displaying 661 – 680 of 1237