25/06/08 08:04:07.64 cYYLjQao.net
>>469
ありがとう
君は、大分 数学イップスが治癒してきたようだね (^^
そこから 下記へ行ける
URLリンク(direct.mit.edu)
Sheaf Theory through ExamplesOpen Access
By Daniel Rosiak
The MIT Press
DOI: URLリンク(doi.org)
ISBN electronic: 9780262370424
Publication date: 2022
ここに、Book PDF というリンクアイコンがあって(リンクは貼らないので自分で訪問すること)
そこから、PDF図書が落とせる
Grokさん偉いね
Grokさんと、一つ対局してみるかな?w ;p)
<目次>
1 Categories 21
1.1 Categorical Preliminaries 21
1.2 A Few More Examples 35
1.3 Returning to the Definition and Distinctions of Size 36
1.4 Some New Categories from Old 40
1.5 Aside on “No Objects” 43
2 Prelude to Sheaves: Presheaves 45
2.1 Functors 46
2.2 Natural Transformations 61
2.3 Seeing Structures as Presheaves 65
2.4 The Presheaf Action 71
2.5 Philosophical Pass: The Four Action Perspectives 85
3 Universal Constructions 89
3.1 Limits and Colimits 89
3.2 Philosophical Pass: Universality and Mediation 104
4 Topology: A First Pass at Space 109
4.1 Motivation 109
4.2 A Dialogue Introducing the Key Notions of Topology 111
4.3 Topology and Topological Spaces More Formally 123
4.4 Philosophical Pass: Open Questions 144
5 First Look at Sheaves 147
5.1 Sheaves: The Topological Definition 147
5.2 Examples 151
5.3 Philosophical Pass: Sheaf as Local-Global Passage 168
6 There’s a Yoneda Lemma for That 171
6.1 First, Enrichment! 171
6.2 Downsets and Yoneda in the Miniature 175
6.3 Representability Simplified 179
6.4 More on Representability, Fixed Points, and a Paradox 183
以下略