English

Obstructions in a model category and Klein and Williams' intersection invariants

Algebraic Topology 2022-03-15 v2

Abstract

We give an obstruction for lifts and extensions in a model category inspired by Klein and Williams' work on intersection theory. In contrast to the familiar obstructions from algebraic topology, this approach produces a single invariant that is complete in the presences of the appropriate generalizations of dimension and connectivity assumptions.

Keywords

Cite

@article{arxiv.2007.13702,
  title  = {Obstructions in a model category and Klein and Williams' intersection invariants},
  author = {Kate Ponto},
  journal= {arXiv preprint arXiv:2007.13702},
  year   = {2022}
}

Comments

13 pages. Significant revision following referee suggestions

R2 v1 2026-06-23T17:26:23.444Z