Moore's theorem

Details Moore's theorem Moore's theorem

2010-01-28

arxiv.org/abs/1001.5140v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

In this (mostly expository) paper, we review a proof of the following old theorem of R.L. Moore: for a closed equivalence relation on the 2-sphere such that all equivalence classes are connected and non-separating, and not all points are equivalent, the quotient space is homeomorphic to the 2-sphere. The proof uses a general topological theory close to but simpler than an original theory of Moore. The exposition is organized so that to make applications of Moore's theory (not only Moore's theorem) in complex dynamics easier, although no dynamical applications are mentioned here.

Affiliated with

Also associated with

No associations

Rating

Moore's theorem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Moore's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moore's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254451