Abstract
We give an obstruction theory 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 theory produces a single invariant that is complete in the presence of the appropriate generalizations of dimension and connectivity assumptions.
| Original language | English |
|---|---|
| Pages (from-to) | 439-452 |
| Number of pages | 14 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 151 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 2023 |
Bibliographical note
Publisher Copyright:©2022 American Mathematical Society.
Funding
Received by the editors October 5, 2021, and, in revised form, February 4, 2022, and March 14, 2022. 2020 Mathematics Subject Classification. Primary 55S35, 18N40, 55U35, 55Q05. The author was partially supported by NSF grant DMS-1810779 and the Royster Research Professorship at the University of Kentucky.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS-1810779 |
| University of Kentucky |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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