LEADER 04215nam 2200589 450 001 9910480509003321 005 20170822144147.0 010 $a1-4704-0511-3 035 $a(CKB)3360000000465089 035 $a(EBL)3114196 035 $a(SSID)ssj0000888843 035 $a(PQKBManifestationID)11492664 035 $a(PQKBTitleCode)TC0000888843 035 $a(PQKBWorkID)10867690 035 $a(PQKB)11481256 035 $a(MiAaPQ)EBC3114196 035 $a(PPN)195417941 035 $a(EXLCZ)993360000000465089 100 $a20080114h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aComplicial sets characterising the simplical nerves of strict [omega]-categories /$fDominic Verity 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (184 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 905 300 $a"May 2008, volume 193, number 905 (end of volume)." 311 $a0-8218-4142-4 320 $aIncludes bibliographical references (pages 173-174) and indexes. 327 $a""Contents""; ""Preface""; ""Historical Background""; ""Relationships to Other Work""; ""Overview and Structure""; ""Chapter 1. Simplicial Operators and Simplicial Sets""; ""1. Simplicial Operators""; ""2. The Algebraist's I?? and 2-Categories""; ""3. The Algebraist's I?? and Monoidal Categories""; ""4. Simplicial Sets""; ""5. Semi- Simplicial Sets""; ""6. Analysing Products of Simplicial Sets-the Theory of Shuffles""; ""Chapter 2. A Little Categorical Background""; ""1. Reflective Full Subcategories""; ""2. LFP-Categories and LE-Theories"" 327 $a""Chapter 3. Double Categories, 2-Categories and n-Categories""""1. Categories in the Small""; ""2. Double Categories""; ""3. 2-Categories and Double Categories with Connections""; ""4. n-Categories and I??-Categories""; ""Chapter 4. An Introduction to the Decalage Construction""; ""1. Nerves and Decalage""; ""2. Comonad Transformations and Simplicial Reconstruction""; ""Chapter 5. Stratifications and Filterings of Simplicial Sets""; ""1. Stratified Simplicial Sets""; ""2. Superstructures and Filtered Semi- Simplicial Sets""; ""Chapter 6. Pre-Complicial Sets "" 327 $a""1. Introducing Pre- Complicial Sets""""2. Tensor Products of Pre- Complicial Sets""; ""3. Pre- Tensors and Preservation of t- Extensions""; ""4. Some Other Preservation Properties""; ""5. A Monoidal Biclosed Structure on Pre- Complicial sets""; ""6. Superstructures of Pre-Complicial Sets""; ""Chapter 7. Complicial Sets""; ""1. Introducing Complicial Sets""; ""2. Glueing Squares and Filling Lemmas""; ""3. Tensor Products and Complicial Sets""; ""4. Superstructures of Complicial Sets""; ""Chapter 8. The Path Category Construction""; ""1. The Complicial Category of Prisms"" 327 $a""2. Path Categories and Superstructures""""3. A Complicial Double Category with Connections""; ""Chapter 9. Complicial Decalage Constructions""; ""1. A Decalage Construction on Complicial Sets""; ""2. A Path Construction on Complicially Enriched Categories""; ""3. A Decalage Construction on Complicially Enriched Categories""; ""4. Semi-Simplicial Reconstruction""; ""Chapter 10. Street's I??-Categorical Nerve Construction""; ""1. Parity Complexes""; ""2. Collapsers and Stratified Parity Complexes""; ""3. I??-Categorical Nerve Constructions"" 327 $a""4. Products of Parity Complexes and the Complicial Tensor""""5. An Inductive Proof of the Street-Roberts Conjecture""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 905. 606 $aCategories (Mathematics) 606 $aAlgebraic topology 608 $aElectronic books. 615 0$aCategories (Mathematics) 615 0$aAlgebraic topology. 676 $a512/.62 700 $aVerity$b Dominic$f1966-$0999842 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480509003321 996 $aComplicial sets characterising the simplical nerves of strict -categories$92295154 997 $aUNINA