✦ LIBER ✦

Knots and links

✍ Scribed by Peter R. Cromwell

Book ID: 127456544
Publisher: Cambridge University Press
Year: 2004
Tongue: English
Weight: 4 MB
Edition: First Edition
Category: Library
City: Cambridge, UK; New York
ISBN-13: 9780521839471

No coin nor oath required. For personal study only.

✦ Synopsis

Knot theory is the study of embeddings of circles in space. Peter Cromwell has written a textbook on knot theory designed for use in advanced undergraduate or beginning graduate-level courses. The exposition is detailed and careful yet engaging and full of motivation. Numerous examples and exercises serve to help students through the material, while an instructor's manual is available online.

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## Abstract The main purpose of this paper is to show that any embedding of __K~7~__ in three‐dimensional euclidean space contains a knotted cycle. By a similar but simpler argument, it is also shown that any embedding of __K~6~__ contains a pair of disjoint cycles which are homologically linked.