11 - added to acknowledgements |
11 - added to acknowledgements |
12 - clarified definition of splittable |
12 - clarified definition of splittable |
13 - changed to pitchfork notation for splittable subsets of fields |
13 - changed to pitchfork notation for splittable subsets of fields |
14 - added definition of collaring homeomorphism |
14 - added definition of collaring homeomorphism |
15 - improved definition of bordism n-category |
15 - improved definition of bordism n-category |
16 - fixed definition of a refinement of a ball decomposition (intermediate manifolds should also be disjoiunt unions of balls) |
16 - fixed definition of a refinement of a ball decomposition (intermediate manifolds should also be disjoint unions of balls) |
17 - added brief definition of monoidal n-categories |
17 - added brief definition of monoidal n-categories |
18 - fixed statement of compatibility of product morphisms with gluing |
18 - fixed statement of compatibility of product morphisms with gluing |
19 - added remark about manifolds which do not admit ball decompositions; restricted product theorem (7.1.1) to apply only to these manifolds |
19 - added remark about manifolds which do not admit ball decompositions; restricted product theorem (7.1.1) to apply only to these manifolds |
20 - added remarks about categories of defects |
20 - added remarks about categories of defects |
21 - clarified that the "cell complexes" in string diagrams are actually a bit more general |
21 - clarified that the "cell complexes" in string diagrams are actually a bit more general |
22 - added remark to insure that the poset of decompositions is a small category |
22 - added remark to insure that the poset of decompositions is a small category |
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23 - rewrote definition of colimit (in "From Balls to Manifolds" subsection) to allow for more general decompositions; also added more details |
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27 |
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28 |