Classification theorem:
1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23
Germs
/ Jets
/ Determinacy
/ Nakayama's lemma (Nakayama-Azumaya-Krull)
/ Unfoldings
/ Splitting lemma
/ Classification
/ Transversality
/ Codimension
/ Localisation
/ Density
Std. forms for the 7 elem. catastrophes of codim
4
Example sheets (with solutions):
1. Cusp
/ 2. Swallowtail
/ 3. Hypebolic umbilic
/ 4. Elliptic umbilic
/ 5. Butterfly
/ 6. Evolutes & buoyancy
/ 7. Germs, determinacy & codimension
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