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Englisch
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Beschreibung
"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"--
Über den Autor
Daniel Rosiak
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2022 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Einband - flex.(Paperback) |
ISBN-13: | 9780262542159 |
ISBN-10: | 0262542153 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Rosiak, Daniel |
Hersteller: | MIT Press Ltd |
Maße: | 254 x 178 x 50 mm |
Von/Mit: | Daniel Rosiak |
Erscheinungsdatum: | 25.10.2022 |
Gewicht: | 0,958 kg |
Über den Autor
Daniel Rosiak
Inhaltsverzeichnis
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
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
Details
Erscheinungsjahr: | 2022 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: | Einband - flex.(Paperback) |
ISBN-13: | 9780262542159 |
ISBN-10: | 0262542153 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Rosiak, Daniel |
Hersteller: | MIT Press Ltd |
Maße: | 254 x 178 x 50 mm |
Von/Mit: | Daniel Rosiak |
Erscheinungsdatum: | 25.10.2022 |
Gewicht: | 0,958 kg |
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