"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"--
"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"--
Daniel Rosiak is a Research Associate at the Inamori International Center for Ethics and Excellence at Case Western Reserve University.
Inhaltsangabe
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
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
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