Obstruction theory in a model category and Klein and Williams’ intersection invariants
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- by Kate Ponto
- Proc. Amer. Math. Soc. 151 (2023), 439-452
- DOI: https://doi.org/10.1090/proc/16076
- Published electronically: July 22, 2022
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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.References
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Bibliographic Information
- Kate Ponto
- Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506
- MR Author ID: 868017
- Email: kate.ponto@uky.edu
- Received by editor(s): October 5, 2021
- Received by editor(s) in revised form: February 4, 2022, and March 14, 2022
- Published electronically: July 22, 2022
- Additional Notes: The author was partially supported by NSF grant DMS-1810779 and the Royster Research Professorship at the University of Kentucky
- Communicated by: Julie Bergner
- © Copyright 2022 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 151 (2023), 439-452
- MSC (2020): Primary 55S35, 18N40, 55U35, 55Q05
- DOI: https://doi.org/10.1090/proc/16076
- MathSciNet review: 4504637