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Connected Sums of 4‐Manifolds as Codimension‐ k Fibrators
Author(s) -
Daverman Robert J.,
Im Young Ho,
Kim Yongkuk
Publication year - 2003
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/s0024610703004332
Subject(s) - codimension , fibration , mathematics , manifold (fluid mechanics) , pure mathematics , point (geometry) , variety (cybernetics) , domain (mathematical analysis) , combinatorics , topology (electrical circuits) , mathematical analysis , homotopy , geometry , statistics , mechanical engineering , engineering
The main result provides mild conditions under which a closed, orientable, PL 4‐manifold N = N 1 # N 2 with π 1 ( N e ) residually finite ( e =1,2) is a codimension‐5 PL fibrator. The paper also presents a rich variety of conditions on a closed 4‐manifold N 4 under which every PL map between manifolds, where the domain is orientable and all point inverses are copies of N 4 , must be an approximate fibration.