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On the Topology of Three-Dimensional Space

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Abstract

In the present work, we topologically investigate closed curves (knots) in ordinary (i.e. hyperspherical) space (Chapter II), as well as three-dimensional space in general (Chapter III). Preceding these discussions are the necessary general considerations (Chapter I). In fact in §1 we consider groups of discrete operations, namely those constructed from a finite number of generating operations, among which a finite number of relations are given.

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© 1987 Springer-Verlag New York Inc.

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Dehn, M. (1987). On the Topology of Three-Dimensional Space. In: Papers on Group Theory and Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4668-8_6

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  • DOI: https://doi.org/10.1007/978-1-4612-4668-8_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9107-7

  • Online ISBN: 978-1-4612-4668-8

  • eBook Packages: Springer Book Archive

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