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Stable Isometry Structures and the Factorization of Q‐Acyclic Stable Knots
Author(s) -
Hillman J. A.,
Kearton C.
Publication year - 1989
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/jlms/s2-39.1.175
Subject(s) - mathematics , homotopy , invariant (physics) , combinatorics , complement (music) , pure mathematics , semigroup , factorization , isometry (riemannian geometry) , discrete mathematics , algorithm , biochemistry , chemistry , complementation , mathematical physics , gene , phenotype
We reformulate Farber's stable homotopy invariant for high dimensional knots as a self duality of an object in an additive category, and use this reformulation to show that the semigroup of stable knots whose complement has Q‐acyclic universal cover is almost free.