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

Producción científica: Article › revisión exhaustiva

1 Cita (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	439-452
Número de páginas	14
Publicación	Proceedings of the American Mathematical Society
Volumen	151
N.º	1
DOI	https://doi.org/10.1090/proc/16076
Estado	Published - ene 1 2023

Nota bibliográfica

Publisher Copyright:
©2022 American Mathematical Society.

Financiación

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.

Financiadores	Número del financiador
National Science Foundation Arctic Social Science Program	DMS-1810779
University of Kentucky

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/16076

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

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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