Circle Decompositions of Surfaces

Details Circle Decompositions of Surfaces Circle Decompositions of Surfaces

2010-09-03

arxiv.org/abs/1009.0575v2

Topology and its Applications 158 (2011), 392-396

Mathematics

General Topology

9 pages, final version, to appear in Topology and its Applications (2010). A few missprints have been corrected

Scientific paper

10.1016/j.topol.2010.11.015

We determine which connected surfaces can be partitioned into topological
circles. There are exactly seven such surfaces up to homeomorphism: those of
finite type, of Euler characteristic zero, and with compact boundary
components. As a byproduct, we get that any circle decomposition of a surface
is upper semicontinuous.

Affiliated with

Also associated with

No associations

Rating

Circle Decompositions of Surfaces 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 Circle Decompositions of Surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Circle Decompositions of Surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684084