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On the Topology of Three-Dimensional Space

Max Dehn

A chapter in Papers on Group Theory and Topology, 1987, pp 92-126 from Springer

Abstract: 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.

Keywords: Singular Point; Fundamental Group; Closed Curve; Closed Curf; Double Line (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4668-8_6

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DOI: 10.1007/978-1-4612-4668-8_6

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