000 02745nam a22004815i 4500
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
024 7 _a10.1007/BFb0096341
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
072 7 _aPBMP
_2thema
082 0 4 _a516.36
_223
100 1 _aKühnel, Wolfgang.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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.
300 _aVIII, 128 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1612
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.
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
856 4 0 _uhttps://doi.org/10.1007/BFb0096341
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9538
_d9538