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Braids and Self-Distribut
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A book in excellent condition. Cover is shiny and undamaged, and the dust jacket is included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear.
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Located in: Springfield, Oregon, United States
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eBay item number:226778256922
Item specifics
- Condition
- EAN
- 9783034895682
- ISBN
- 9783034895682
- Book Title
- Braids and Self-Distributivity (Progress in Mathematics) by
- UPC
- 9783034895682
- MPN
- N/A
About this product
Product Identifiers
Publisher
Springer Basel A&G
ISBN-10
3034895682
ISBN-13
9783034895682
eBay Product ID (ePID)
177525543
Product Key Features
Number of Pages
Xix, 623 Pages
Language
English
Publication Name
Braids and Self-Distributivity
Subject
Topology
Publication Year
2012
Type
Textbook
Subject Area
Mathematics
Series
Progress in Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
34.7 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
"In this book...P. Dehornoy has accomplished with remarkable success the task of presenting the area of interaction where Artin's braid groups, left self-distributive systems (LD-systems) and set theory come together in a rigorous and clear manner...The exposition is self-contained and there are no prerequisites. A number of basic results about braid groups, self-distributive algebras, and set theory are provided." --Mathematical Reviews
Series Volume Number
192
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514/.224
Table Of Content
A: Ordering the Braids.- I. Braids vs. Self-Distributive Systems.- II. Word Reversing.- III. The Braid Order.- IV. The Order on Positive Braids.- B: Free LD-systems.- V. Orders on Free LD-systems.- VI. Normal Forms.- VII. The Geometry Monoid.- VIII. The Group of Left Self-Distributivity.- IX. Progressive Expansions.- C: Other LD-Systems.- X. More LD-Systems.- XI. LD-Monoids.- XII. Elementary Embeddings.- XIII. More about the Laver Tables.- List of Symbols.
Synopsis
The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas ing role in mathematics in view of their connection with many fields, such as knot theory, algebraic combinatorics, quantum groups and the Yang-Baxter equation, etc. LD-systems have also been considered for several decades: early examples are mentioned in the beginning of the 20th century, and the first general results can be traced back to Belousov in the 1960s. The existence of a connection between braids and left self-distributivity has been observed and used in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the connection is already implicit in (Hurwitz 1891). The results we shall concentrate on here rely on a new approach developed in the late 1980s and originating from set theory., The aim of this book is to present recently discovered connections between Artin's braid groups En and left self-distributive systems (also called LD- systems), which are sets equipped with a binary operation satisfying the left self-distributivity identity x(yz) = (xy)(xz). (LD) Such connections appeared in set theory in the 1980s and led to the discovery in 1991 of a left invariant linear order on the braid groups. Braids and self-distributivity have been studied for a long time. Braid groups were introduced in the 1930s by E. Artin, and they have played an increas- ing role in mathematics in view of their connection with many fields, such as knot theory, algebraic combinatorics, quantum groups and the Yang-Baxter equation, etc. LD-systems have also been considered for several decades: early examples are mentioned in the beginning of the 20th century, and the first general results can be traced back to Belousov in the 1960s. The existence of a connection between braids and left self-distributivity has been observed and used in low dimensional topology for more than twenty years, in particular in work by Joyce, Brieskorn, Kauffman and their students. Brieskorn mentions that the connection is already implicit in (Hurwitz 1891). The results we shall concentrate on here rely on a new approach developed in the late 1980s and originating from set theory.
LC Classification Number
QA611-614.97
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Seller feedback (1,682)
- d***6 (3298)- Feedback left by buyer.Past monthVerified purchaseItem listed as 2024 edition but was 2006 had to return & it was supposed to be a gift
- eBay automated Feedback- Feedback left by buyer.Past monthOrder completed successfully – tracked and on time
- 5***5 (188)- Feedback left by buyer.Past monthVerified purchasesuper fast shipper. item arrived exactly as described in perfect shape. A++++ seller