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The circle space of a spherical circle plane (2014)

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Type of Content
Journal Article
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http://hdl.handle.net/10092/15117

Publisher
BELGIAN MATHEMATICAL SOC TRIOMPHE
ISSN
1370-1444
2034-1970
Language
English
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Authors
Löwen, R.
Steinke, G. F.
Abstract

We show that the circle space of a spherical circle plane is a punctured projective 3-space. The main ingredient is a partial solution of the problem of Apollonius on common touching circles.

Citation
Löwen R, Steinke GF (2014). The circle space of a spherical circle plane. Bulletin of the Belgian Mathematical Society - Simon Stevin. 21(2). 351-364.
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Keywords
Mobius plane; spherical circle plane; mathematics
ANZSRC Fields of Research
49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometry