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LEADER: 02766pam a22003494a 4500
001 4124575
005 20221027041853.0
008 021114t20032003nyua b 001 0 eng
010 $a 2002042736
020 $a0387001735 (alk. paper)
035 $a(OCoLC)ocm51046891
035 $a(NNC)4124575
035 $a4124575
040 $aDLC$cDLC$dYDX$dOHX$dOrLoB-B
042 $apcc
050 04 $aQA329.9$b.G73 2003
072 7 $aQA$2lcco
082 00 $a515/.7248$221
100 1 $aGranas, Andrzej.$0http://id.loc.gov/authorities/names/n80106507
245 10 $aFixed point theory /$cAndrzej Granas, James Dugundji.
260 $aNew York :$bSpringer-Verlag,$c[2003], ©2003.
300 $axv, 690 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aSpringer monographs in mathematics
504 $aIncludes bibliographical references (p. [620]-667) and indexes.
505 00 $gI.$tElementary Fixed Point Theorems -- $g1.$tResults Based on Completeness -- $g2.$tOrder-Theoretic Results -- $g3.$tResults Based on Convexity -- $g4.$tFurther Results and Applications -- $gII.$tTheorem of Borsuk and Topological Transversality -- $g5.$tTheorems of Brouwer and Borsuk -- $g6.$tFixed Points for Compact Maps in Normed Linear Spaces -- $g7.$tFurther Results and Applications -- $gIII.$tHomology and Fixed Points -- $g8.$tSimplicial Homology -- $g9.$tThe Lefschetz-Hopf Theorem and Brouwer Degree -- $gIV.$tLeray-Schauder Degree and Fixed Point Index -- $g10.$tTopological Degree in R [subscript n] -- $g11.$tAbsolute Neighborhood Retracts -- $g12.$tFixed Point Index in ANRs -- $g13.$tFurther Results and Applications -- $gV.$tThe Lefschetz-Hopf Theory -- $g14.$tSingular Homology -- $g15.$tLefschetz Theory for Maps of ANRs -- $g16.$tThe Hopf Index Theorem -- $g17.$tFurther Results and Applications -- $gVI.$tSelected Topics -- $g18.$tFinite-Codimensional Cech Cohomology -- $g19.$tVietoris Fractions and Coincidence Theory -- $g20.$tFurther Results and Supplements.
520 1 $a"This monograph gives a carefully worked-out account of the most basic principles and applications of the theory of fixed points. Until now, a treatment of many of the discussed topics has been unavailable in book form. The presentation is self-contained and is accessible to a broad spectrum of readers. The main text is complemented by numerous exercises, detailed comments, and a comprehensive bibliography."--BOOK JACKET.
650 0 $aFixed point theory.$0http://id.loc.gov/authorities/subjects/sh85048934
700 1 $aDugundji, James.$0http://id.loc.gov/authorities/names/n83059813
830 0 $aSpringer monographs in mathematics.$0http://id.loc.gov/authorities/names/n97101238
852 00 $bmat$hQA329.9$i.G73 2003g