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Groups of piecewise linear homeomorphisms of the real line

โœ Scribed by Matthew G. Brin; Craig C. Squier

Publisher
Springer-Verlag
Year
1985
Tongue
English
Weight
786 KB
Volume
79
Category
Article
ISSN
0020-9910

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respectively. We present an algorithm to construct a piecewise linear homeomorphism between P and Q mapping each vertex p g P to q g Q by constructing i i isomorphic triangulations of P and Q. These isomorphic triangulations consist of ลฝ 2 . ลฝ . O M log n q n log n triangles where M is the size of t

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We establish the connection between two fields of Topology that until now seemed to be far away from each other, namely digital topology and the theory of generalized closed sets. In this paper we study ฮธ-generalized homeomorphisms, their groups and some allied concepts applied to digital topology.