Manifolds that are not leaves of codimension one foliations

F\'abio S. Souza (Universidade do Estado do Rio de Janeiro -- UERJ); Paul A. Schweitzer; S. J. (Pontif\'icia Universidade Cat\'olica do Rio de Janeiro -- PUC-Rio)

arxiv: 1111.2766 · v3 · pith:AX7BWKFXnew · submitted 2011-11-11 · 🧮 math.GT · math.DG

Manifolds that are not leaves of codimension one foliations

F\'abio S. Souza (Universidade do Estado do Rio de Janeiro -- UERJ) , Paul A. Schweitzer , S. J. (Pontif\'icia Universidade Cat\'olica do Rio de Janeiro -- PUC-Rio) This is my paper

classification 🧮 math.GT math.DG

keywords manifoldscodimensionhomologyhomotopyleavescompactconnecteddimension

0 comments

read the original abstract

We present new open manifolds that are not homeomorphic to leaves of any C^0 codimension one foliation of a compact manifold. Among them are simply connected manifolds of dimension 5 or greater that are non-periodic in homotopy or homology, namely in their 2-dimensional homotopy or homology groups.

This paper has not been read by Pith yet.

Manifolds that are not leaves of codimension one foliations

discussion (0)