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Knot projections /

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits...

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Manylion Llyfryddiaeth
Prif Awdur: Ito, Noboru
Fformat: Printed Book
Iaith:English
Cyhoeddwyd: Boca Raton: CRC Press, 2016.
Pynciau:
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999 |c 333601  |d 333601 
010 |a  2017470961 
020 |a 9781498736756 (hbk.) 
020 |a 1498736750 (hbk.) 
035 |a (OCoLC)ocn944381661 
042 |a lccopycat 
082 0 4 |a 514/.2242  |2 23 
084 |2 msc  |a 57-02 
100 1 |a Ito, Noboru, 
245 1 0 |a Knot projections /  |c Noboru Ito, The University of Tokyo, Meguro-ku, Tokyo, Japan. 
260 |a Boca Raton:  |b CRC Press,  |c 2016. 
300 |a xix, 200 pages :  |b illustrations ;  |c 24 cm 
500 |a "A Chapman & Hall book." 
504 |a Includes bibliographical references and index. 
505 |a Introduction. Mathematical Background. A topological invariant of knot projections. Classification by RI and RII. Classification by strong and weak RIII. Constructing new topological invariants of equivalence classes of knot projections. Survey on classification problems of knot projections. 
520 |a Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior background in topology, making the book suitable as a useful alternative to standard textbooks on the subject. However, the main aim is to serve as an introduction to an active research subject, and includes many open questions. 
650 0 |a Knot theory. 
650 7 |a Knot theory.  |2 fast 
942 |c BK 
906 |a 7  |b cbc  |c copycat  |d 2  |e ncip  |f 20  |g y-gencatlg 
955 |b rl09 2018-05-07 z-processor  |i rl09 2018-05-07 ; to CALM 
952 |0 0  |1 0  |2 ddc  |4 0  |6 5702_ITO  |7 0  |9 381282  |a MAT  |b MAT  |c ST1  |d 2019-04-05  |i 7113  |l 0  |o 57-02 ITO  |p MAT7113  |r 2019-04-05  |y BK