02863nam a2200493 i 4500991003636179707536m o d cr |n|||||||||190408s2018 sz ob 001 0 eng d3319744518(electronic bk.)9783319744513(electronic bk.)331974450X978331974450610.1007/978-3-319-74451-3doib14363896-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng51423AMS 54-01LC QA611Schmidt, Günther502593Relational topology[e-book] /by Gunther Schmidt, Michael WinterCham :Springer,20181 online resource (xiv, 198 p. 104 illus., 64 illus. in colortexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,0075-8434 ;22081.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 ComplexesThis 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 assistantsCategories (Mathematics)Algebra, HomologicalAlgebraComputer scienceMathematicsLogic, Symbolic and mathematicalTopologyWinter, Michaelauthorhttp://id.loc.gov/vocabulary/relators/aut566406Printed edition:9783319744506An electronic book accessible through the World Wide Webhttp://link.springer.com/10.1007/978-3-319-74451-3.b1436389603-03-2208-04-19991003636179707536Relational topology1524079UNISALENTOle01308-04-19m@ -engsz 0001468nam0 2200313 i 450 RAV020758520251003044327.0IT1938 8638 55530 20070611d1938 ||||0itac50 baitaitz01i xxxe z01nElementi per uno studio linguistico e politico del CaucasoB. Barbiellini AmideiNapoliR. Istituto superiore orientale193880 p., [29] c. di tav.fotogr.22 cm.CAUCASOFIRNAPC022150I499.969LINGUA GEORGIANA23Barbiellini Amidei, BernardoRAVV080491070633390ITIT-00000020070611IT-BN0095 IT-NA0079 NAP BNU. A. La consegna dei documenti è effettuata dall'Ufficio DistribuzioneNAP 01POZZO LIB.Vi sono collocati fondi di economia, periodici di ingegneria e scienze, periodici di economia e statistica e altri fondi comprendenti documenti di economia pervenuti in dono. RAV0207585Biblioteca Centralizzata di Ateneo1 v. 01POZZO LIB.F. LANGELLA 81 0101 0600182335E VMA 1 v. (Precedente collocazione LG 105)B 2022101320221013 01 BNElementi per uno studio linguistico e politico del Caucaso1152905UNISANNIO