English

Additivity for parametrized topological Euler characteristic and Reidemeister torsion

Algebraic Topology 2007-11-13 v2 K-Theory and Homology

Abstract

Dwyer, Weiss, and Williams have recently defined the notions of parametrized topological Euler characteristic and parametrized topological Reidemeister torsion which are invariants of bundles of compact topological manifolds. We show that these invariants satisfy additivity formulas paralleling the additive properties of the classical Euler characteristic and Reidemeister torsion of finite CW-complexes.

Keywords

Cite

@article{arxiv.math/0506258,
  title  = {Additivity for parametrized topological Euler characteristic and Reidemeister torsion},
  author = {Bernard Badzioch and Wojciech Dorabiala},
  journal= {arXiv preprint arXiv:math/0506258},
  year   = {2007}
}

Comments

Minor stylistic changes; published in K-Theory

R2 v1 2026-07-22T17:20:40.402Z