000 | 02778nam a22004335a 4500 | ||
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001 | 209-160920 | ||
003 | CH-001817-3 | ||
005 | 20170613140839.0 | ||
006 | a fot ||| 0| | ||
007 | cr nn mmmmamaa | ||
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 |
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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 |
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999 |
_c50501 _d50501 |