English

Thick Spanier groups and the first shape group

Geometric Topology 2017-03-14 v1 Algebraic Topology

Abstract

We develop a new route through which to explore kerΨX\ker\Psi_X, the kernel of the π1\pi_1-shape group homomorphism determined by a general space XX, and establish, for each locally path connected, paracompact Hausdorff space XX, kerΨX\ker\Psi_X is precisely the Spanier group of XX.

Cite

@article{arxiv.1207.1310,
  title  = {Thick Spanier groups and the first shape group},
  author = {Jeremy Brazas and Paul Fabel},
  journal= {arXiv preprint arXiv:1207.1310},
  year   = {2017}
}

Comments

23 Pages, 1 figure, To appear in Rocky Mountain Journal of Mathematics

R2 v1 2026-06-21T21:31:09.602Z