OBSTRUCTION THEORY IN A MODEL CATEGORY AND KLEIN AND WILLIAMS’ INTERSECTION INVARIANTS

Kate Ponto

doi:10.1090/proc/16076

OBSTRUCTION THEORY IN A MODEL CATEGORY AND KLEIN AND WILLIAMS’ INTERSECTION INVARIANTS

Kate Ponto

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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	https://doi.org/10.1090/proc/16076
State	Published - Jan 1 2023

Bibliographical note

Publisher Copyright:
©2022 American Mathematical Society.

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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OBSTRUCTION THEORY IN A MODEL CATEGORY AND KLEIN AND WILLIAMS’ INTERSECTION INVARIANTS

Abstract

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ASJC Scopus subject areas

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