English

A new invariant associated with decompositions of manifolds

Geometric Topology 2013-10-16 v5 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We introduce a new topological invariant, which is a nonnegative integer, of compact manifolds with boundaries associated with a kind of decomposition of them. Let M and N be m-dimensional compact connected manifolds with boundaries. The new invariant of any boundary union of M and N is less than or equal to that of M (resp. that of N).

Keywords

Cite

@article{arxiv.math/0512320,
  title  = {A new invariant associated with decompositions of manifolds},
  author = {Eiji Ogasa},
  journal= {arXiv preprint arXiv:math/0512320},
  year   = {2013}
}

Comments

13 pages