Search results for "Combinatorics"

Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces

2012

Let α > 0 and p ∈ [1, ∞) satisfy αp ≤ n. Suppose that f: Rn Rn is a K-quasiconformal mapping and let u ∈ Wα, p(Rn) have compact support. We find an optimal value of β = β(α, K, n) such that u○f ∈ Wβ, p(Rn). We also give an answer to the analogous problem where we moreover assume that u is bounded.

Unipotent Finitary Linear Groups

1993

Multiplicity of Boardman strata and deformations of map germs

1998

AbstractWe define algebraically for each map germ f:Kn,0→Kp, 0 and for each Boardman symbol i=(i1,…,ik) a number ci(f) which is -invariant. If f is finitely determined, this number is the generalization of the Milnor number of f when p = 1, the number of cusps of f when n = p = 2, or the number of cross caps when n = 2, p = 3. We study some properties of this number and prove that, in some particular cases, this number can be interpreted geometrically as the number of Σi points that appear in a generic deformation of f. In the last part, we compute this number in the case that the map germ is a projection and give some applications to catastrophe map germs.

On CM points away from the Torelli locus

2021

Dichte Klassen konvexer Polytope

1978

Eine Verallgemeinerung eines Satzes von N. Kuiper

1976

Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist

1968

Ein Kriterium f�r Quasik�rperA(F, ?, (g i ), (f i ),n)

1991

Weights, vertices and a correspondence of characters in groups of odd order

1993

Products of groups with finite rank

1987