Nonsmooth manifold decompositions

Horvat, Eva (author)

We study the structure induced on a smooth manifold by a continuous selection of smooth functions. In case such selection is suitably generic, it provides a stratification of the manifold, whose strata are algebraically defined smooth submanifolds. When the continuous selection has nondegenerate critical points, stratification descends to the local topological structure. We analyze this structure for the maximum of three smooth functions on a 4-manifold, which provides a new perspective on the theory of trisections.

• Language: English
• Keywords: continuous selection of functions, stratification, trisection
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 14 str.
• Numbering: Vol. 194, art. 105020
• PID: 20.500.12556/RUL-151721
• UDC: 51
• ISSN on article: 1879-1662
• DOI: 10.1016/j.geomphys.2023.105020
• COBISS.SI-ID: 168789251
• Publication date in RUL: 18.10.2023

Record is a part of a journal

• Title: Journal of geometry and physics
• Shortened title: J. geom. phys.
• Publisher: Elsevier
• ISSN: 1879-1662
• COBISS.SI-ID: 168779011

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.

Secondary language

• Language: Slovenian
• Keywords: stratifikacija, selekcija funkcij, matematika