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Sheaf Theory through Examples

Autor Daniel Rosiak
en Limba Engleză Paperback – 25 oct 2022
"This book presents copious and sometimes unexpected examples of sheaf theory, a mathematical tool with promising applications in data science and engineering and in efforts to apply category theory more widely"--
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Specificații

ISBN-13: 9780262542159
ISBN-10: 0262542153
Pagini: 432
Ilustrații: 2 colour illustrations. 75 black and white illustrations
Dimensiuni: 178 x 254 x 50 mm
Greutate: 0.96 kg
Editura: MIT Press Ltd

Cuprins

Acknowledgments ix
Introduction 1
1 Categories 21
2 Prelude to Sheaves: Presheaves 45
3 Universal Constructions 89
4 Topology: A First Pass at Space 109
5 First Look at Sheaves 147
6 There's a Yoneda Lemma for That 171
7 Adjunctions 195
8 Sheaves Revisited 241
9 Cellular Sheaf Cohomology through Examples 277
10 Sheaves on a Site 311
11 Elementary Toposes 369
A Appendix (Revisiting Topology) 411
References 431
Index 439