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inserted
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82 (Note: We often omit the subscript $k$.) |
82 (Note: We often omit the subscript $k$.) |
83 |
83 |
84 We are being deliberately vague about what flavor of $k$-balls |
84 We are being deliberately vague about what flavor of $k$-balls |
85 we are considering. |
85 we are considering. |
86 They could be unoriented or oriented or Spin or $\mbox{Pin}_\pm$. |
86 They could be unoriented or oriented or Spin or $\mbox{Pin}_\pm$. |
87 They could be topological or PL or smooth. |
87 They could be PL or smooth. |
88 %\nn{need to check whether this makes much difference} |
88 %\nn{need to check whether this makes much difference} |
89 (If smooth, ``homeomorphism" should be read ``diffeomorphism", and we would need |
89 (If smooth, ``homeomorphism" should be read ``diffeomorphism", and we would need |
90 to be fussier about corners and boundaries.) |
90 to be fussier about corners and boundaries.) |
91 For each flavor of manifold there is a corresponding flavor of $n$-category. |
91 For each flavor of manifold there is a corresponding flavor of $n$-category. |
92 For simplicity, we will concentrate on the case of PL unoriented manifolds. |
92 For simplicity, we will concentrate on the case of PL unoriented manifolds. |