A solution to de Groot's absolute cone conjecture

Details A solution to de Groot's absolute cone conjecture A solution to de Groot's absolute cone conjecture

2005-07-19

arxiv.org/abs/math/0507395v1

Mathematics

Geometric Topology

15 pages, 5 figures

Scientific paper

A compactum X is an `absolute cone' if, for each of its points x, the space X is homeomorphic to a cone with x corresponding to the cone point. In 1971, J. de Groot conjectured that each n-dimensional absolute cone is an n-cell. In this paper, we give a complete solution to that conjecture. In particular, we show that the conjecture is true for n<4 and false for n>4. For n=4, the absolute cone conjecture is true if and only if the 3-dimensional Poincare Conjecture is true.

Affiliated with

Also associated with

No associations

Rating

A solution to de Groot's absolute cone conjecture 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 A solution to de Groot's absolute cone conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A solution to de Groot's absolute cone conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-287843