000 | 02745nam a22004815i 4500 | ||
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001 | 978-3-540-49452-2 | ||
003 | DE-He213 | ||
005 | 20190213151115.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1995 gw | s |||| 0|eng d | ||
020 |
_a9783540494522 _9978-3-540-49452-2 |
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024 | 7 |
_a10.1007/BFb0096341 _2doi |
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050 | 4 | _aQA641-670 | |
072 | 7 |
_aPBMP _2bicssc |
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072 | 7 |
_aMAT012030 _2bisacsh |
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072 | 7 |
_aPBMP _2thema |
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082 | 0 | 4 |
_a516.36 _223 |
100 | 1 |
_aKühnel, Wolfgang. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aTight Polyhedral Submanifolds and Tight Triangulations _h[electronic resource] / _cby Wolfgang Kühnel. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1995. |
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300 |
_aVIII, 128 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1612 |
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505 | 0 | _aand basic notions -- Tight polyhedral surfaces -- Tightness and k-tightness -- (k?1)-connected 2k-manifolds -- 3-manifolds and twisted sphere bundles -- Connected sums and manifolds with boundary -- Miscellaneous cases and pseudomanifolds. | |
520 | _aThis volume is an introduction and a monograph about tight polyhedra. The treatment of the 2-dimensional case is self- contained and fairly elementary. It would be suitable also for undergraduate seminars. Particular emphasis is given to the interplay of various special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes in a way not found in other books. A typical result relates tight submanifolds to combinatorial properties of their convex hulls. The chapters on higher dimensions generalize the 2-dimensional case using concepts from combinatorics and topology, such as combinatorial Morse theory. A number of open problems is discussed. | ||
650 | 0 | _aGlobal differential geometry. | |
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 1 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662206935 |
776 | 0 | 8 |
_iPrinted edition: _z9783540601210 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1612 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0096341 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9538 _d9538 |