Sentence examples for retracts of from inspiring English sources

AANRs as characterized as metrizable spaces that are homeomorphic to approximative neighborhood retracts of normed spaces.

Even more precisely, ANRs are characterized as retracts of open subsets of convex subspaces of normed linear spaces.

We will work entirely with digital images that are digital simplicial complexes or retracts of digital simplicial complexes.

Let (C β )β∈Γbe a decreasing family of one-local retracts of C, where is totally ordered.

Rather, under suitable hypotheses on the objectives and constraints, they may be contractible retracts of the feasible set (see, e.g., [46]).

Similar arguments based on the topological structure of fixed points sets of set-valued maps can be used to construct other examples of functions whose level sets are retracts of sorts.

A complex K ≤ n ′ which can be obtained from a complex K ≤ n by a finite sequence of retractions is called a retract of the complex K ≤ n.

Suppose F is a nonexpansive retract of E by a retraction c.

Put F := F(S) ∩ A. Since A is c-invariant, it is clear that F is a nonexpansive retract of A by the retraction c.

The set is a retract of in if there exists a retraction from to in.

In particular, a subset is called a nonexpansive retract of if there exists a nonexpansive retraction such that for all.