Year: 2026
Type: article
Abstract: We study the topology of the boundaries $$\partial F_{f}$$ ∂ F f and $$\partial F_{I}$$ ∂ F I of the Milnor fibers $$F_{f}$$ F f and $$F_{I},$$ F I , respectively, of real analytic map-germs $$f{:}\,(\mathbb {R}^M,0) \rightarrow (\mathbb {R}^K,0)$$ f : ( R M , 0 ) → ( R K , 0 ) and $$f_{I}:=\Pi _{I}\circ f{:}\,(\mathbb {R}^M,0) \rightarrow (\mathbb {R}^I,0)$$ f I : = Π I ∘ f : ( R M , 0 ) → ( R I , 0 ) that admit Milnor’s tube fibrations, where $$\Pi _{I}{:}\,({\mathbb {R}}^K,0)\rightarrow ({\mathbb {R}}^{I},0)$$ Π I : ( R K , 0 ) → ( R I , 0 ) is the canonical projection for $$1\le I 1 ≤ I < K . For each I we prove that the Milnor boundary $$\partial F_{I}$$
Source: Mathematische Zeitschrift
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Award: G600846358
OpenAlex ID: W7130501806