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008 160920e20160930sz fot ||| 0|eng d
020 _a9783037196663
024 7 0 _a10.4171/166
_2doi
040 _ach0018173
072 7 _aPBFD
_2bicssc
084 _a20-xx
_a22-xx
_a51-xx
_a57-xx
_2msc
100 1 _aCornulier, Yves,
_eauthor.
245 1 0 _aMetric Geometry of Locally Compact Groups
_h[electronic resource] /
_cYves Cornulier, Pierre de la Harpe
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2016
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2016
300 _a1 online resource (243 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aEMS Tracts in Mathematics (ETM)
_v25
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aWinner of the 2016 EMS Monograph Award! The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups, and can favourably be extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ‘coarse’ refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view is instrumental in studying locally compact groups. Basic results in the subject are exposed with complete proofs, others are stated with appropriate references. Most importantly, the development of the theory is illustrated by numerous examples, including matrix groups with entries in the the field of real or complex numbers, or other locally compact fields such as p-adic fields, isometry groups of various metric spaces, and, last but not least, discrete group themselves. The book is aimed at graduate students and advanced undergraduate students, as well as mathematicians who wish some introduction to coarse geometry and locally compact groups.
650 0 7 _aGroups & group theory
_2bicssc
650 0 7 _aGroup theory and generalizations
_2msc
650 0 7 _aTopological groups, Lie groups
_2msc
650 0 7 _aGeometry
_2msc
650 0 7 _aManifolds and cell complexes
_2msc
700 1 _aCornulier, Yves,
_eauthor.
700 1 _ade la Harpe, Pierre,
_eauthor.
856 4 0 _uhttps://doi.org/10.4171/166
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/cornulier_mini.jpg
942 _2EBK13877
_cEBK
999 _c50501
_d50501