We show that every uniformly asymptotically affine circle endomorphism has a uniformly asymptotically conformal extension.

Abstract Let XY L , T consist of all countable -structures M that satisfy the axioms and in which homomorphisms type X (these could be plain homomorphisms, monomorphisms, or isomorphisms) between finite substructures are restrictions an endomorphism Y (for example, automorphism a surjective endomorphism). Lockett Truss introduced 18 such classes for relational structures. For given pair however...

We prove in this paper that every endomorphism of the mapping class group of certain orientable surfaces onto a subgroup of finite index is in fact an automorphism.

We study some conjectures on the endomorphism algebras of the cohomology of Deligne-Lusztig varieties which are a refinement of those of [BMi].

The dynamics of a system defined by an endomorphism is essentially different from that of a system defined by a diffeomorphism due to interaction of invariant objects with the so-called critical locus. A planar endomorphism typically folds the phase space along curves J0 where the Jacobian of the map is zero. The critical locus is the image of J0, denoted J1, which is often only piecewise smoot...

We give a sharp divisibility bound, in terms of g, for the degree of the field extension required to realize the endomorphisms of an abelian variety of dimension g over an arbitrary number field; this refines a result of Silverberg. This follows from a stronger result giving the same bound for the order of the component group of the Sato–Tate group of the abelian variety, which had been proved ...

The paper presents a criterion for a C *-algebra to be a coefficient algebra associated with a given endomorphism.

We prove the injectivity of Frobenius endomorphism on $\mathsf {B}_{\operatorname {cris}}$, {B}_{\max }$ and {st}}$.