English

Spaces of flattenings of spheres

Algebraic Topology 2022-09-14 v2 Geometric Topology

Abstract

The spaces of flattenings of a simplicial sphere played a key role in the study of existence and uniqueness of differentiable structures on a simplicial sphere. In this paper, we will establish that the spaces of flattenings of some simplicial spheres and show that they have the homotopy type of the orthogonal group.

Keywords

Cite

@article{arxiv.2209.04738,
  title  = {Spaces of flattenings of spheres},
  author = {Olakunle S Abawonse},
  journal= {arXiv preprint arXiv:2209.04738},
  year   = {2022}
}

Comments

10 pages, 4 figures. arXiv admin note: text overlap with arXiv:2205.09553