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in00005631478 |
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OCoLC |
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20220616160242.0 |
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160628s2016 riua b 001 0 eng |
010 |
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|a 2016029680
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|a 9781470431068
|q hardcover
|q alkaline paper
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|a 1470431068
|q hardcover
|q alkaline paper
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029 |
1 |
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|a CHBIS
|b 010813664
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035 |
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|a (OCoLC)952567244
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040 |
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|a DLC
|b eng
|e rda
|c DLC
|d OCLCO
|d OCLCF
|d YDX
|d BTCTA
|d YSM
|d NUI
|d YDX
|d OCLCO
|d SOI
|d EEM
|d UtOrBLW
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|a pcc
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049 |
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|a EEMR
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050 |
0 |
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|a QA174.2
|b .C53 2016
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082 |
0 |
0 |
|a 512/.55
|2 23
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100 |
1 |
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|a Clay, Adam
|q (Adam J.),
|d 1981-
|e author.
|0 http://id.loc.gov/authorities/names/n2016035154
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245 |
1 |
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|a Ordered groups and topology /
|c Adam Clay, Dale Rolfsen.
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264 |
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1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c [2016]
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300 |
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|a x, 154 pages :
|b illustrations ;
|c 27 cm.
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336 |
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|a text
|b txt
|2 rdacontent
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337 |
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|a unmediated
|b n
|2 rdamedia
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338 |
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|a volume
|b nc
|2 rdacarrier
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490 |
1 |
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|a Graduate studies in mathematics ;
|v 176
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504 |
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|a Includes bibliographical references and index.
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505 |
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|a Orderable groups and their algebraic properties -- Hölder's theorem, convex subgroups and dynamics -- Free groups, surface groups and covering spaces -- Knots -- Three-dimensional manifolds -- Foliations -- Left-orderings of the braid groups -- Groups of homeomorphisms -- Conradian left-orderings and local indicability -- Spaces of orderings.
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520 |
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|a "This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader" -- From the publisher.
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650 |
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|a Ordered groups.
|0 http://id.loc.gov/authorities/subjects/sh85095368
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650 |
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|a Topology.
|0 http://id.loc.gov/authorities/subjects/sh85136089
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650 |
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|a Low-dimensional topology.
|0 http://id.loc.gov/authorities/subjects/sh85078631
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650 |
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|a Knot theory.
|0 http://id.loc.gov/authorities/subjects/sh85072726
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650 |
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0 |
|a Manifolds (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh85080549
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700 |
1 |
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|a Rolfsen, Dale,
|e author.
|0 http://id.loc.gov/authorities/names/n85064774
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830 |
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|a Graduate studies in mathematics ;
|v v. 176.
|0 http://id.loc.gov/authorities/names/n92111274
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907 |
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|y .b121565622
|b 170816
|c 170208
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|s b0ad110e-64a2-548b-b761-7d56e47a0897
|t 0
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952 |
f |
f |
|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Remote Storage
|d MSU Remote Storage
|t 0
|e QA174.2 .C53 2016
|h Library of Congress classification
|i Printed Material
|m 31293035364961
|n 1
|