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539 Another possibility considered here was ``pivotal $n$-category", but we prefer to preserve pivotal for its usual sense. |
539 Another possibility considered here was ``pivotal $n$-category", but we prefer to preserve pivotal for its usual sense. |
540 It will thus be a theorem that our disk-like 2-categories |
540 It will thus be a theorem that our disk-like 2-categories |
541 are equivalent to pivotal 2-categories, c.f. \S \ref{ssec:2-cats}. |
541 are equivalent to pivotal 2-categories, c.f. \S \ref{ssec:2-cats}. |
542 |
542 |
543 Finally, we need a general name for isomorphisms between balls, where the balls could be |
543 Finally, we need a general name for isomorphisms between balls, where the balls could be |
544 piecewise linear or smooth or topological or Spin or framed or etc., or some combination thereof. |
544 piecewise linear or smooth or Spin or framed or etc., or some combination thereof. |
545 We have chosen to use ``homeomorphism" for the appropriate sort of isomorphism, so the reader should |
545 We have chosen to use ``homeomorphism" for the appropriate sort of isomorphism, so the reader should |
546 keep in mind that ``homeomorphism" could mean PL homeomorphism or diffeomorphism (and so on) |
546 keep in mind that ``homeomorphism" could mean PL homeomorphism or diffeomorphism (and so on) |
547 depending on context. |
547 depending on context. |
548 |
548 |
549 \subsection{Thanks and acknowledgements} |
549 \subsection{Thanks and acknowledgements} |