Spines and Embeddings of  n ‐Manifolds | Zendy

Matveev Sergei | Zendy; Rolfsen Dale | Zendy

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Spines and Embeddings of n ‐Manifolds

Author(s) -

Matveev Sergei,

Rolfsen Dale

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799006973

Subject(s) - cartesian product , codimension , product (mathematics) , spine (molecular biology) , manifold (fluid mechanics) , interval (graph theory) , mathematics , cartesian coordinate system , combinatorics , pure mathematics , physics , geometry , engineering , biology , bioinformatics , mechanical engineering

Every compact, connected PL manifold M n , with ∂ M n ≠Ø, collapses to a codimension‐one subpolyhedron Q n −1 , called a spine of M n . The purpose of this paper is to prove that, if Q n −1 is appropriately chosen, one can reconstruct M n from Q n −1 , after taking the Cartesian product with an interval I =[0, 1].

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