LEADER 02819oam 2200601I 450 001 9910818190403321 005 20230803201719.0 010 $a0-429-18873-0 010 $a1-4822-3150-6 024 7 $a10.1201/b16416 035 $a(CKB)3710000000083508 035 $a(EBL)1383561 035 $a(SSID)ssj0001158793 035 $a(PQKBManifestationID)11683771 035 $a(PQKBTitleCode)TC0001158793 035 $a(PQKBWorkID)11108439 035 $a(PQKB)10677019 035 $a(OCoLC)872667448 035 $a(MiAaPQ)EBC1383561 035 $a(OCoLC)868488087 035 $a(EXLCZ)993710000000083508 100 $a20180331h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA functorial model theory $enewer applications to algebraic topology, descriptive sets, and computing categories topos /$fCyrus F. Nourani, PhD 205 $aFirst edition. 210 1$aToronto :$cApple Academic Press, Inc. ;$aBoca Raton, FL :$cCRC Press,$d[2014] 210 4$dİ2014 215 $a1 online resource (296 p.) 300 $aDescription based upon print version of record. 311 $a1-926895-92-4 320 $aIncludes bibliographical references. 327 $aFront Cover; About the Author; Contents; Preface; Chapter 1: Introduction; Chapter 2: Categorical Preliminaries; Chapter 3: Infinite Language Categories; Chapter 4: Functorial Fragment Model Theory; Chapter 5: Algebraic Theories, Categories, and Models; Chapter 6: Generic Functorial Models and Topos; Chapter 7: Models, Sheaves, and Topos; Chapter 8: Functors on Fields; Chapter 9: Filters and Ultraproducts on Projective Sets; Chapter 10: A Glimpse on Algebraic Set Theory; Bibliography 330 $aThis book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models. 606 $aInfinitary languages 606 $aAlgebraic topology 606 $aDescriptive set theory 606 $aCategories (Mathematics) 615 0$aInfinitary languages. 615 0$aAlgebraic topology. 615 0$aDescriptive set theory. 615 0$aCategories (Mathematics) 676 $a512/.62 700 $aNourani$b Cyrus F.$01654965 801 0$bFlBoTFG 801 1$bFlBoTFG 906 $aBOOK 912 $a9910818190403321 996 $aA functorial model theory$94007122 997 $aUNINA