An elementary proof of borsuk theorem

Details An elementary proof of borsuk theorem An elementary proof of borsuk theorem

2010-10-11

arxiv.org/abs/1010.1990v1

Mathematics

Metric Geometry

2 pages, 1 figure, this note is one of the results of my participation in `Math in Moscow' program

Scientific paper

In 1933, Borsuk conjectured that any bounded d-dimensional set of nonzero
diameter can be broken into d + 1 parts of smaller diameter. This conjecture
was disproved for large enough d, though it is true for low dimensional cases.
The paper provides an alternative proof for d = 2 case.

Affiliated with

Also associated with

No associations

Rating

An elementary proof of borsuk 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 An elementary proof of borsuk theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An elementary proof of borsuk theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658153