GENERALIZED KNOT COMPLEMENTS AND SOME ASPHERICAL RIBBON DISC COMPLEMENTS-Reference-Cited by-同舟云学术

GENERALIZED KNOT COMPLEMENTS AND SOME ASPHERICAL RIBBON DISC COMPLEMENTS

Published:2003-11 Issue:07 Volume:12 Page:947-962
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HARLANDER JENS¹,ROSEBROCK STEPHAN²

Affiliation:

1. Department of Mathematics, Western Kentucky University, 1 Big Red Way, Bowling Green, KY 42101, USA

2. Fakultät für Mathematik, Pädagogische Hochschule, Bismarckstr. 10, 76133 Karlsruhe, Germany

Abstract

We generalize some aspects of standard knot-theory to all ribbon-disc complements. We study asphericity of the complement of properly embedded links in certain contractible singular 3-manifolds that should be thought off as replacements of the 3-ball in the classical setting. We apply our results to show asphericity of 2-complexes modelled on labelled oriented graphs that correspond to alternating prime projections on some surface.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216503002871

Reference10 articles.

1. J. H. C. Whitehead's Asphericity Question

2. Metric Spaces of Non-Positive Curvature

3. Spherical diagrams and identities among relations

4. Reducible Diagrams and Equations Over Groups

5. Geometric Aspects of Two-Dimensional Complexes

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