English

On the normal cycles of subanalytic sets

Differential Geometry 2015-03-13 v4 Geometric Topology Logic

Abstract

We present a short complete proof of the existence of the normal cycle of a compact subanalytic set. The approach is inspired by some old ides of Joseph Fu, uses Morse theoretic techniques and oo-minimal topology.

Cite

@article{arxiv.1003.1631,
  title  = {On the normal cycles of subanalytic sets},
  author = {Liviu I. Nicolaescu},
  journal= {arXiv preprint arXiv:1003.1631},
  year   = {2015}
}

Comments

24 pages, 1 figure. Vers 4: filled in some missing details, included an approximation result, a comparison with the approach of A. Bernig and a several appendices

R2 v1 2026-06-21T14:55:02.993Z