DIFFERENTIAL SHEAVES AND CONNECTIONS

DIFFERENTIAL SHEAVES AND CONNECTIONS

Tekijä: Anastasios Mallios, Elias Zafiris
Kustantaja: World Scientific Publishing Company
Julkaisuvuosi: 2015
ISBN: 9789814719469

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Maksa Klarnalla
14 päivän palautusoikeus
This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.

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