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On the Topology of Three-Dimensional Space

In: Papers on Group Theory and Topology

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  • Max Dehn

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.

Suggested Citation

  • Max Dehn, 1987. "On the Topology of Three-Dimensional Space," Springer Books, in: Papers on Group Theory and Topology, pages 92-126, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-4668-8_6
    DOI: 10.1007/978-1-4612-4668-8_6
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