Partially Paradoxist Smarandache Geometries

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A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space. A class of continuous spaces is presented here together with specific exmples that exhibit almost all of these phenomena and suggest the prospect of a continuous paradoxist geometry.
To appear in Smarandache Notions Journal

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Metric Geometry, 51F99

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http://salesiana.dossiersoluciones.com/handle/123456789/62344

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0110085
 http://arxiv.org/abs/math/0110085

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arXiv