Download Categorical Topology by H. Herrlich, G. Preuß PDF

By H. Herrlich, G. Preuß

Show description

Read Online or Download Categorical Topology PDF

Similar geometry and topology books

Arithmetic Algebraic Geometry. Proc. conf. Trento, 1991

This quantity includes 3 lengthy lecture sequence via J. L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their subject matters are respectively the relationship among algebraic K-theory and the torsion algebraic cycles on an algebraic type, a brand new method of Iwasawa idea for Hasse-Weil L-function, and the purposes of arithemetic geometry to Diophantine approximation.

The Theory Of The Imaginary In Geometry: Together With The Trigonometry Of..

Книга the idea Of The Imaginary In Geometry: including The Trigonometry Of. .. the idea Of The Imaginary In Geometry: including The Trigonometry Of The Imaginary Книги Математика Автор: J. L. S. Hatton Год издания: 2007 Формат: djvu Издат. :Kessinger Publishing, LLC Страниц: 220 Размер: 6,1 Mb ISBN: 0548805520 Язык: Английский0 (голосов: zero) Оценка:J.

Additional info for Categorical Topology

Example text

1. March 4, 2007 11:41 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 33 + 6 Fig. 7. 6 61 60 6: AS and IHX relations, where ⊕ in TX means a positive half twist. 1. 1. We will show the ‘if’ part. Let Ta , Tb , Tb , Tc , Tc and Td be claspers as illustrated in Figure 8, and let T x (x = a, b, c, d) be claspers obtained from Tx by adding a half-twist on an edge. Recall that string links have a natural monoid structure arising from composition. Let L be a 2-string link. 4, L is C2 -equivalent to the product of µL (12) copies A if µL (12) ≥ 0 or −µL (12) copies A−1 if µL (12) < 0, where A is a string link obtained from the trivial string link 12 by surgery along Ta , and A−1 is obtained from 12 by surgery along T a .

Math. de France, Ast´erisque 107-108 (1983) 87–161. 2. J. Birman and W. Menasco, Studying knots via braids III: Classifying knots which are closed 3 braids, Pacific J. Math. 161 (1993) 25–113.

1, we have MN (L) = 2 × h(R) = 2. Note that L has a Seifert surface R such that h(R) = 2. March 4, 2007 11:41 WSPC - Proceedings Trim Size: 9in x 6in ws-procs9x6 40 Fig. 4. α1 α2 Fig. 5. 4. Connected sum The behavior of the handle number under a Murasugi sum has been studied in [2] and [3]. 1. Let K1 K2 be a connected sum of K1 and K2 . Then, MN (K1 K2 ) ≤ MN (K1 ) + MN (K2 ). However the study of the behavior of the Morse-Novikov number under a connected sum is not complete, that is, the next natural question is still open as far as I know.

Download PDF sample

Download Categorical Topology by H. Herrlich, G. Preuß PDF
Rated 4.83 of 5 – based on 26 votes