LEADER 02863nam a2200493 i 4500
001 991003636179707536
006 m     o  d        
007 cr |n|||||||||
008 190408s2018    sz      ob    001 0 eng d
020   $a3319744518$q(electronic bk.)
020   $a9783319744513$q(electronic bk.)
020   $z331974450X
020   $z9783319744506
024 7 $a10.1007/978-3-319-74451-3$2doi
035   $ab14363896-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a514$223
084   $aAMS 54-01
084   $aLC QA611
100 1 $aSchmidt, Gu?nther$0502593
245 10$aRelational topology$h[e-book] /$cby Gunther Schmidt, Michael Winter
260   $aCham :$bSpringer,$c2018
300   $a1 online resource (xiv, 198 p. 104 illus., 64 illus. in color
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 ;$v2208
505 0 $a1.Introduction ; 2. Prerequisites ; 3. Products of Relations ; 4. Meet and Join as Relations ; 5. Applying Relations in Topology ; 6. Construction of Topologies ; 7. Closures and their Aumann Contacts ; 8. Proximity and Nearness ; 9. Frames ; 10. Simplicial Complexes
520   $aThis book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appear throughout mathematics, numerics, statistics, engineering, and elsewhere, the methods used to work with them are much less well known. In addition to their purely topological applications, the volume also details how the techniques may be successfully applied to spatial reasoning and to logics of computer science. Topologists will find several familiar concepts presented in a concise and algebraically manipulable form which is far more condensed than usual, but visualized via represented relations and thus readily graspable. This approach also offers the possibility of handling topological problems using proof assistants
650  0$aCategories (Mathematics)
650  0$aAlgebra, Homological
650  0$aAlgebra
650  0$aComputer science$xMathematics
650  0$aLogic, Symbolic and mathematical
650  0$aTopology
700 1 $aWinter, Michael$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0566406
776 08$iPrinted edition:$z9783319744506
856 40$zAn electronic book accessible through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-74451-3
907   $a.b14363896$b03-03-22$c08-04-19
912   $a991003636179707536
996   $aRelational topology$91524079
997   $aUNISALENTO
998   $ale013$b08-04-19$cm$d@  $e-$feng$gsz $h0$i0