منابع مشابه
Open Sets of Diffeomorphisms with Trivial Centralizer in the C Topology
On the torus of dimension 2, 3, or 4, we show that the subset of diffeomorphisms with trivial centralizer in the C topology has nonempty interior. We do this by developing two approaches, the fixed point and the odd prime periodic point, to obtain trivial centralizer for an open neighbourhood of Anosov diffeomorphisms arbitrarily near certain irreducible hyperbolic toral automorphism.
متن کاملGeneralized twisted centralizer codes
An important code of length n is obtained by taking centralizer of a square matrix over a finite field Fq. Twisted centralizer codes, twisted by an element a ∈ Fq, are also similar type of codes but different in nature. The main results were embedded on dimension and minimum distance. In this paper, we have defined a new family of twisted centralizer codes namely generalized twisted centralizer...
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The C1 interior of the set of all diffeomorphisms satisfying Lewowicz’s persistency is characterized as the set of all diffeomorphisms satisfying Axiom A and the strong transversality condition. In [5], Lewowicz introduced a notion of persistency for a homeomorphism of a compact metric space X , and it is remarked that persistence is a weaker property than topological stability when X is a mani...
متن کاملDiffeomorphisms with Periodic Shadowing
We show that if a diffeomorphism has the periodic shadowing property on the chain recurrent set, then the closure of the periodic set is the chain recurrent set. Mathematics Subject Classification: 37C50
متن کاملTwisted Centralizer Codes
Given an n× n matrix A over a field F and a scalar a ∈ F , we consider the linear codes C(A, a) := {B ∈ F | AB = aBA} of length n2. We call C(A, a) a twisted centralizer code. We investigate properties of these codes including their dimensions, minimum distances, parity-check matrices, syndromes, and automorphism groups. The minimal distance of a centralizer code (when a = 1) is at most n, howe...
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ژورنال
عنوان ژورنال: Topology
سال: 1976
ISSN: 0040-9383
DOI: 10.1016/0040-9383(76)90003-3