Year: 2025
Type: article
Abstract: We consider open, oriented [Formula: see text]-manifolds which are infinite connected sums of closed [Formula: see text]-manifolds. We introduce some topological invariants for these manifolds and obtain a classification in the case where there are only finitely many summands up to diffeomorphism. This result encompasses both the Kneser–Milnor Prime Decomposition Theorem for closed [Formula: see text]-manifolds and the Kerékjártó–Richards classification theorem for open surfaces.
Source: Journal of Topology and Analysis
Authors: Laurent Bessières, Gérard Besson, Sylvain Maillot
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
OpenAlex ID: W4413836298