| Record ID | marc_columbia/Columbia-extract-20221130-011.mrc:231298105:2454 |
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LEADER: 02454cam a2200301 a 4500
001 5396246
005 20221110030931.0
008 050425t20052005nyua b 001 0 eng d
020 $a0387242198 (hd.bd.)
035 $a(OCoLC)ocm59617119
035 $a(NNC)5396246
035 $a5396246
040 $aOHX$cOHX$dBGU$dNNC$dOrLoB-B
072 7 $aQA$2lcco
090 $aQA171.48$b.H37 2005
100 1 $aHarzheim, Egbert,$d1932-$0http://id.loc.gov/authorities/names/no2005063896
245 10 $aOrdered sets /$cby Egbert Harzheim.
260 $aNew York :$bSpringer,$c[2005], ©2005.
300 $axii, 386 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aAdvances in mathematics ;$vv. 7
504 $aIncludes bibliographical references (p. [369]-377) and index.
505 00 $tFundamental notions of set theory -- $gCh. 1.$tFundamental notions -- $gCh. 2.$tGeneral relations between posets and their chains and antichains -- $gCh. 3.$tLinearly ordered sets -- $gCh. 4.$tProducts of orders -- $gCh. 5.$tUniversally ordered sets -- $gCh. 6.$tApplications of the splitting method -- $gCh. 7.$tThe dimension of posets -- $gCh. 8.$tWell-founded posets, pwo-sets and trees -- $gCh. 9.$tOn the order structure of power sets -- $gCh. 10.$tComparison of order types -- $gCh. 11.$tComparability graphs.
520 1 $a"The 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." "This book is intended for mathematics students and for mathematicians who are interested in set theory. Only some fundamental parts of naive 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."--BOOK JACKET.
650 0 $aOrdered sets.$0http://id.loc.gov/authorities/subjects/sh85095369
830 0 $aAdvances in mathematics (Springer Science+Business Media) ;$vv. 7.$0http://id.loc.gov/authorities/names/n2005003623
852 00 $bmat$hQA171.48$i.H37 2005g