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oai:www.ideals.illinois.edu:2142/22501 2023-07-10 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Haken, Wolfgang Brown, Scott Allen 2011-05-07T13:41:51Z 2011-05-07T13:41:51Z 10000-01-01 1995 A ribbon knot is one which bounds a certain type of singular disk in the 3-sphere. In this work we investigate an enumeration procedure for such disks and study a natural topological grouping of related ribbons which differ by twists along imbedded bands. When the knots under consideration possess a hyperbolic structure, we use a limiting process to show that a given knot can only be obtained in finitely many ways by adding twists to a suitably chosen ribbon. The resulting families of ribbons yield, even for relatively simple cases, ribbon surfaces for many knots in the knot tables. Made available in DSpace on 2011-05-07T13:41:51Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9543541.pdf: 1826956 bytes, checksum: 52c404cf7e9dcea564f5f42f1db174ee (MD5) Previous issue date: 1995 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:58:03Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:27:16-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9543541 (UMI)AAI9543541 http://hdl.handle.net/2142/22501 eng Copyright 1995 Brown, Scott Allen Mathematics Enumeration and classification of ribbon knots text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.