Knot projections

Knot projections

by Ito, Noboru

Type Book
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Title Statements

  • Full title :Knot projections / Noboru Ito.

Edition Statements

  • Publication Date:2016.

Publication Statements

The Physical Object

  • Description:1 online resource.

Edition Identifiers

  • ISBN:9781498736756, 1498736750, 9781498736770, 1498736777
  • oclc:ocn969377575
  • LC Classification:QA612.2
  • Dewey Decimal:514/.2242

Table of Contents

Knots, knot diagrams, and knot projections -- Mathematical background, 1920s -- Topological invariant of know projections, 1930s -- Classification of knot projections under RI and RII, 1990s -- Classification by RI and strong or weak RIII, 1996-2015 -- Techniques for counting sub-chord diagrams, 2015-future -- Hagge-Yazinski theorem, necessity of RIII -- Further result of strong (1, 3) homotopy -- Half-twisted splice operations, reductivities, unavoidable sets, triple chords, and strong (1, 2) homotopy -- Weak (1, 2, 3) homotopy -- Viro's quantization of Arnold invariant.

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