On embedding of 4-manifolds

Abhijeet Ghanwat () and Kuldeep Saha ()
Additional contact information
Abhijeet Ghanwat: Chennai Mathematical Institute
Kuldeep Saha: TCG-CREST

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 479-483

Abstract: Abstract We discuss embedding of 4-manifolds in Euclidean spaces of dimension $$ \le 8$$ ≤ 8 . We give an elementary proof of the fact that every 4-manifold admits a topological embedding in $$\mathbb {R}^8$$ R 8 . As an application of our method of proof, we also deduce some embedding results for compact 4-manifolds with nonempty boundary.

Keywords: 4-Manifold; Embedding; Primary 57 Q35; Secondary 57 R40 (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00111-x Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00111-x

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00111-x

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().