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Absolute neighborhood retracts (ANRs) are topological spaces X X which, whenever i: X → Y i: X → Y is an embedding into a normal topological space Y Y, there exists a neighborhood U U of i(X) i (X) in Y Y and a retraction of U U onto i(X) i (X).
In subject area: Mathematics. A space X is called an absolute neighborhood retract or ANR, if every map F → X from a closed subspace F ⊂ Y of a normal space Y admits an extension to some neighborhood of F in Y. From: Handbook of Algebraic Topology, 1995.
23 maj 2019 · This article introduces a metatheoretical framework—the Relationship Trajectories Framework—that conceptualizes how human mating relationships develop across their complete time span, from the moment two people meet until the relationship ends.
The reflexive dimension of an R -space. Published: March 1980. Volume 35 , pages 249–255, ( 1980 ) Cite this article. Download PDF. K-W Yang. 23 Accesses. 3 Citations. Explore all metrics. Article PDF. References. P. Civin and B. Yood, Quasi-reflexive spaces, Proc. Amer. Math. Soc., 8 (1957), 906–911. Google Scholar.
1 sty 2012 · Let 0 be any metric (compatible with the topology) [−1,1] m such that for every x, y∈ [−1,1] m , 0 (x, y) min (r 1 ,...,r n , ε). (2.3) efine a new metric on A by (x, y)=max ( 0 (x, y),d ( f (x), f (y))). Observe that f : (A, )→ (X,d) is nonexpansive (2.4) d diam (A) ε (thanks to (2.2) and (2.3)).
15 sie 2014 · Introduction. In this paper we establish some properties of homogeneous metric compacta. One of the main problems concerning homogeneous compacta is the Bing and Borsuk [2] question whether any closet separator of an n -dimensional homogeneous metric ANR -space is cyclic in dimension n − 1.
On ANR for metric spaces. By. Yukihiro Kodama. (Received June 7, 1955) 1. Introduction. A topological space X is called an absolute neighborhood retract for metric spaces if, whenever X is a closed subset of a metric space Y, there exists a continuous mapping from some neighborhood of X in Y onto X which keeps X pointwise fixed. (Cf. Michael [4]).
