Quasi-isometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees

Mathematics – Geometric Topology

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

15 pages

Scientific paper

In every dimension $n\ge 3$ we introduce a class of orthogonal
graph-manifolds and prove that the fundamental group of any orthogonal
graph-manifold quasi-isometrically embeds into a product of $n$ trees. As a
consequence, we obtain that asymptotic and linearly-controlled asymptotic
dimensions of such group are equal to $n$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Quasi-isometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees 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 Quasi-isometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-isometric embedding of the fundamental group of an orthogonal graph-manifold into a product of metric trees will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-314159

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.