000 01681cam a22002417i 4500
001 135711
003 ISI Library, Kolkata
005 20150505122931.0
008 131112t20142014onc b 001 0 eng
020 _a9781926895925 (bound)
040 _aISI Library
082 0 0 _a512.62
_223
_bN931
100 1 _aNourani, Cyrus F.
245 1 2 _aFunctorial model theory :
_bnewer applications to algebraic topology, descriptive sets, and computing categories topos /
_cCyrus F. Nourani.
260 _aToronto :
_bApple Academic Press,
_cc2014.
300 _a292 p. ;
_c24 cm.
504 _aIncludes bibliographical references (pages 257-284) and index.
505 _a1. Introduction -- 2. Categorical preliminaries -- 3. Infinite language categories -- 4. Functional fragment model theory -- 5. Algebraic theories, categories and models -- 6. Generic functional models and topos -- 7. Models, sheaves, and topos --8. Functors on fields -- 9. Filters and ultraproducts on projective sets -- 10. A glimpse on algebraic set theory-- Bibliography-- Index.
520 _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.
650 0 _aFunctor theory.
650 0 _aModel theory.
942 _2ddc
_cBK
999 _c418938
_d418938