20.500.12556/RUL-151721 Nonsmooth manifold decompositions 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. continuous selection of functions stratification trisection stratifikacija selekcija funkcij matematika true false true Angleški jezik Slovenski jezik Članek v reviji 2023-10-18 08:15:53 2023-10-18 08:15:53 2023-12-21 11:14:25 0000-00-00 00:00:00 2023 0 0 14 str. art. 105020 Vol. 194 Dec. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 1879-1662 10.1016/j.geomphys.2023.105020 168789251 RAZ_Horvat_Eva_2023.pdf RAZ_Horvat_Eva_2023.pdf 1 ED70EC803BA9877D365986513AF093A4 9d7b84053226b04a499ec4bae14f45aa850bcea24850a7f0a75f6ac0e0274a9f 762e4b9b-6d7e-11ee-8bea-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=176766 https://www.sciencedirect.com/science/article/pii/S0393044023002723 0 cbb7e250-6d7d-11ee-8bea-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=176765 Pedagoška fakulteta 0 0 0