Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

Fan Homeomorphisms in the Plane


Yatsuka Nakamura
Shinshu University, Nagano

Summary.

We will introduce four homeomorphisms (Fan morphisms) which give spoke-like distortion to the plane. They do not change the norms of vectors and preserve halfplanes invariant. These morphisms are used to regulate placement of points on the circle.

MML Identifier: JGRAPH_4

The terminology and notation used in this paper have been introduced in the following articles [16] [18] [1] [11] [15] [19] [3] [4] [5] [10] [2] [9] [7] [8] [12] [17] [6] [14] [13]

Contents (PDF format)

  1. Preliminaries
  2. Fan Morphism for West
  3. Fan Morphism for North
  4. Fan Morphism for East
  5. Fan Morphism for South

Bibliography

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Received January 8, 2002


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