Detecting codimension one manifold factors with topographical techniques

Details Detecting codimension one manifold factors with topographical techniques Detecting codimension one manifold factors with topographical techniques

2009-09-17

arxiv.org/abs/0909.3166v1

Topology Appl. 156:17 (2009), 2870-2880

Mathematics

Geometric Topology

Scientific paper

10.1016/j.topol.2009.08.023

We prove recognition theorems for codimension one manifold factors of dimension $n \geq 4$. In particular, we formalize topographical methods and introduce three ribbons properties: the crinkled ribbons property, the twisted crinkled ribbons property, and the fuzzy ribbons property. We show that $X \times \mathbb{R}$ is a manifold in the cases when $X$ is a resolvable generalized manifold of finite dimension $n \geq 3$ with either: (1) the crinkled ribbons property; (2) the twisted crinkled ribbons property and the disjoint point disk property; or (3) the fuzzy ribbons property.

Affiliated with

Also associated with

No associations

Rating

Detecting codimension one manifold factors with topographical techniques 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 Detecting codimension one manifold factors with topographical techniques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Detecting codimension one manifold factors with topographical techniques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390642