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Homeomorphisms of 1‐Manifolds and ω‐Bounded 2‐Manifolds
Author(s) -
GAULD DAVID
Publication year - 1993
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1993.tb52517.x
Subject(s) - bounded function , isotopy , homotopy , mathematics , pure mathematics , line (geometry) , manifold (fluid mechanics) , real line , combinatorics , mathematical analysis , geometry , mechanical engineering , engineering
. A classification is given of continuous functions on the long line up to homotopy and homeomorphisms of the long line up to isotopy. The analogous problem for ω‐bounded 2‐manifolds is also investigated.