Recognizing nullhomotopic maps into the classifying space of a Kac–Moody group

Foley, John D.

doi:10.1007/s00209-022-02981-1

Math. Z.

2022

DOI: 10.1007/s00209-022-02981-1

|View full text |Cite

Recognizing nullhomotopic maps into the classifying space of a Kac–Moody group

John D. Foley¹

Help me understand this report

View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Discrete Morse theory and localization

Nanda¹

2019

Journal of Pure and Applied Algebra

View full text Add to dashboard Cite

Incidence relations among the cells of a regular CW complex produce a posetenriched category of entrance paths whose classifying space is homotopy-equivalent to that complex. We show here that each acyclic partial matching (in the sense of discrete Morse theory) of the cells corresponds precisely to a homotopy-preserving localization of the associated entrance path category. Restricting attention further to the full localized subcategory spanned by critical cells, we obtain the discrete flow category whose classifying space is also shown to lie in the homotopy class of the original CW complex. This flow category forms a combinatorial and computable counterpart to the one described by Cohen, Jones and Segal in the context of smooth Morse theory.

show abstract

Discrete Morse theory and localization

Nanda¹

2019

Journal of Pure and Applied Algebra

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Recognizing nullhomotopic maps into the classifying space of a Kac–Moody group

Cited by 1 publication

References 39 publications

Discrete Morse theory and localization

Discrete Morse theory and localization

Contact Info

Product

Resources

About