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Sinopse
The aim of this book is to present a theory and a number of techniques which allow to give substance to Grothendieck's vision by building on the notion of classifying topos educed by categorical logicians. Mathematical theories (formalized within first-order logic) give rise to geometric objects called sites; the passage from sites to their associated toposes embodies the passage from the logical presentation of theories to their mathematical content, i.e. from syntax to semantics.
The essential ambiguity given by the fact that any topos is associated in general with an infinite number of theories or different sites allows to study the relations between different theories, and hence the theories themselves, by using toposes as 'bridges' between these different presentations. The expression or calculation of invariants of toposes in terms of the theories associated with them or their sites of definition generates a great number of results and notions varying according to the different types of presentation, giving rise to a veritable mathematical morphogenesis.
Ficha Técnica
Especificações
ISBN | 9780198758914 |
---|---|
Subtítulo | RELATING AND STUDYING MATHEMATICAL THEORIES THROUGH TOPOS-THEORETIC 'BRIDGES' |
Pré venda | Não |
Peso | 712g |
Autor para link | CARAMELLO OLIVIA |
Livro disponível - pronta entrega | Não |
Dimensões | 23.6 x 16.3 x 2.5 |
Idioma | Inglês |
Tipo item | Livro Importado |
Número de páginas | 384 |
Número da edição | 1ª EDIÇÃO - 2018 |
Código Interno | 856032 |
Código de barras | 9780198758914 |
Acabamento | HARDCOVER |
Autor | CARAMELLO, OLIVIA |
Editora | OXFORD USA |
Sob encomenda | Sim |