10 - added to acknowledgements |
10 - added to acknowledgements |
11 - clarified definition of splittable |
11 - clarified definition of splittable |
12 - change to pitchfork notation for splittable subsets of fields |
12 - change to pitchfork notation for splittable subsets of fields |
13 - added definition of collaring homeomorphism |
13 - added definition of collaring homeomorphism |
14 - improved definition of bordism n-category |
14 - improved definition of bordism n-category |
15 - fixed definition of a refinement of a ball decomposition (intermediate manifolds should also be disjoiunt unions of balls) |
15 - fixed definition of a refinement of a ball decomposition (intermediate manifolds should also be disjoint unions of balls) |
16 - added brief definition of monoidal n-categories |
16 - added brief definition of monoidal n-categories |
17 - fixed statement of compatibility of product morphisms with gluing |
17 - fixed statement of compatibility of product morphisms with gluing |
18 - added remark about manifolds which do not admit ball decompositions; restricted product theorem (7.1.1) to apply only to these manifolds |
18 - added remark about manifolds which do not admit ball decompositions; restricted product theorem (7.1.1) to apply only to these manifolds |
19 - added remarks about categories of defects |
19 - added remarks about categories of defects |
20 - clarified that the "cell complexes" in string diagrams are actually a bit more general |
20 - clarified that the "cell complexes" in string diagrams are actually a bit more general |
21 - added remark to insure that the poset of decompositions is a small category |
21 - added remark to insure that the poset of decompositions is a small category |
|
22 - rewrote definition of colimit (in "From Balls to Manifolds" subsection) to allow for more general decompositions; also added more details |
|
23 - |
22 |
24 |
23 |
25 |
|
26 |
|
27 |