An exotic menagerie
type: Item
instance of: scholarly article
title: An exotic menagerie
zbMATH Open document ID: 0808.57012
author: Robert E. Gompf
published in: Journal of Differential Geometry
publication date: 1994-01-02T00:00:00Z
review text: In a quest to further demonstrate the perversities that occur in dimension four, the author describes further interesting constructions of uncountably many exotic smooth structures on \(\mathbb{R}^ 4\) and other open 4-manifolds. In particular, the author shows that for any topological 4- manifold \(M\), \(M\)-pt. admits uncountably many smoothings. He then goes on to explicitly construct exotic smooth structures on \(\mathbb{R}^ 4\). Finally, he deftly compares and relates the various constructions of these exotic \(\mathbb{R}^ 4\).
Mathematics Subject Classification ID: 57N13
Mathematics Subject Classification ID: 57R55
Mathematics Subject Classification ID: 57R57
zbMATH DE Number: 444704
zbMATH Keywords: smooth structures on punctured 4-manifolds
zbMATH Keywords: uncountably many exotic smooth structures on \(\mathbb{R}^ 4\)
zbMATH Keywords: open 4-manifolds
reviewed by: R. J. Stern
MaRDI profile type: Publication
Wikidata QID: Q115180231
full work available at URL: https://doi.org/10.4310/jdg/1214453429
OpenAlex ID: W1670775710
DOI: 10.4310/JDG/1214453429
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description: scientific article; zbMATH DE number 444704