000 02962nam a22004935i 4500
001 978-0-387-24222-4
003 DE-He213
005 20160614135104.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387242224
_9978-0-387-24222-4
024 7 _a10.1007/b104891
_2doi
049 _aAlfaisal Main Library
050 4 _aQA172-172.4
050 4 _aQA171.5
072 7 _aPBF
_2bicssc
072 7 _aMAT002010
_2bisacsh
082 0 4 _a511.33
_223
100 1 _aHarzheim, Egbert.
_eauthor.
245 1 0 _aOrdered Sets
_h[electronic resource] /
_cby Egbert Harzheim.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXII, 386 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Mathematics ;
_v7
505 0 _aFundamental notions of set theory -- Fundamental notions -- General relations between posets and their chains and antichains -- Linearly ordered sets -- Products of orders -- Universally ordered sets -- Applications of the splitting method -- The dimension of posets -- Well-founded posets, pwo-sets and trees -- On the order structure of power sets -- Comparison of order types -- Comparability graphs.
520 _aThe textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and further it gives thorough investigations on the structure of power sets. Other topics dealt with include dimension theory of ordered sets, well-quasi-ordered sets, trees, combinatorial set theory for ordered sets, comparison of order types, and comparibility graphs. Audience This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of naïve set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aOrdered algebraic structures.
650 1 4 _aMathematics.
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
655 7 _aElectronic books.
_2local
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387242194
830 0 _aAdvances in Mathematics ;
_v7
856 4 0 _uhttp://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/b104891
912 _aZDB-2-SMA
942 _2lcc
_cEBOOKS
999 _c243069
_d243069