Lectures on n-Categories and Cohomology Export

@misc{citeulike:803213, abstract = {The goal of these talks was to explain how cohomology and other tools of algebraic topology are seen through the lens of n-category theory. Special topics include nonabelian cohomology, Postnikov towers, the theory of "n-stuff", and n-categories for n = -1 and -2. The talks were very informal, and so are these notes. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. For readers who want more details, we include an annotated bibliography.}, archivePrefix = {arXiv}, author = {Baez, John C. and Shulman, Michael}, citeulike-article-id = {803213}, citeulike-linkout-0 = {http://arxiv.org/abs/math.CT/0608420}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.CT/0608420}, day = {16}, eprint = {math.CT/0608420}, keywords = {0-toposes, 1-toposes, cantor-paradise, cohomology, complete-heyting-algebras, complete-lattices, dualities, formal-science, frames, heyting-algebras, hierarchy-of-abstract-machines, hierarchy-of-complexity-classes, hierarchy-of-languages, hierarchy-of-logical-frameworks, hierarchy-of-sciences, hierarchy-of-toposes, higher-dimensional-category-theory, higher-dimensional-topos-theory, infinite-rewriting, invariances, lattice-of-sciences, locales, logical-frameworks, mathematical-structure-of-sciences, mathematical-structures, metalogical-frameworks, metamathematical-frameworks, metamathematics, metascience, n-categories, n-frameworks, n-stacks, n-strategies, n-theories, n-toposes, omega-hierarchies, omega-toposes, order-structure-of-sciences, order-structures, philosophy-of-mathematics, platonic-realm, posets, quantales, regularities, representations, resource-allocation, semigroups, sites, stacks, synthetic-science, topologies, topos-theory, unifying}, month = {Aug}, posted-at = {2007-08-30 22:50:10}, priority = {2}, title = {Lectures on n-Categories and Cohomology}, url = {http://arxiv.org/abs/math.CT/0608420}, year = {2006} }

TY - ELEC ID - citeulike:803213 L3 - citeulike-article-id:803213 N2 - The goal of these talks was to explain how cohomology and other tools of algebraic topology are seen through the lens of n-category theory. Special topics include nonabelian cohomology, Postnikov towers, the theory of "n-stuff", and n-categories for n = -1 and -2. The talks were very informal, and so are these notes. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. For readers who want more details, we include an annotated bibliography. TI - Lectures on n-Categories and Cohomology KW - 0-toposes KW - 1-toposes KW - cantor-paradise KW - cohomology KW - complete-heyting-algebras KW - complete-lattices KW - dualities KW - formal-science KW - frames KW - heyting-algebras KW - hierarchy-of-abstract-machines KW - hierarchy-of-complexity-classes KW - hierarchy-of-languages KW - hierarchy-of-logical-frameworks KW - hierarchy-of-sciences KW - hierarchy-of-toposes KW - higher-dimensional-category-theory KW - higher-dimensional-topos-theory KW - infinite-rewriting KW - invariances KW - lattice-of-sciences KW - locales KW - logical-frameworks KW - mathematical-structure-of-sciences KW - mathematical-structures KW - metalogical-frameworks KW - metamathematical-frameworks KW - metamathematics KW - metascience KW - n-categories KW - n-frameworks KW - n-stacks KW - n-strategies KW - n-theories KW - n-toposes KW - omega-hierarchies KW - omega-toposes KW - order-structure-of-sciences KW - order-structures KW - philosophy-of-mathematics KW - platonic-realm KW - posets KW - quantales KW - regularities KW - representations KW - resource-allocation KW - semigroups KW - sites KW - stacks KW - synthetic-science KW - topologies KW - topos-theory KW - unifying AU - Baez, John AU - Shulman, Michael PY - 2006/Aug/16/ UR - http://arxiv.org/abs/math.CT/0608420 ER -