Bing shrinking
Encyclopedia
In geometric topology
, a branch of mathematics, the Bing shrinking criterion, introduced by , is a method for showing that a quotient
of a space is homeomorphic
to the space.
Geometric topology
In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.- Topics :...
, a branch of mathematics, the Bing shrinking criterion, introduced by , is a method for showing that a quotient
Quotient space
In topology and related areas of mathematics, a quotient space is, intuitively speaking, the result of identifying or "gluing together" certain points of a given space. The points to be identified are specified by an equivalence relation...
of a space is homeomorphic
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bicontinuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are...
to the space.