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444 |
444 |
445 \section{Definitions} |
445 \section{Definitions} |
446 \subsection{$n$-categories} \mbox{} |
446 \subsection{$n$-categories} \mbox{} |
447 |
447 |
448 In this section we give a definition of $n$-categories designed to work well with TQFTs. |
448 In this section we give a definition of $n$-categories designed to work well with TQFTs. |
449 The main idea is to base the definition on actual balls, rather combinatorial models of them. |
449 The main idea is to base the definition on actual balls, rather than combinatorial models of them. |
450 This has the advantages of avoiding a proliferation of coherency axioms and building in a strong |
450 This has the advantages of avoiding a proliferation of coherency axioms and building in a strong |
451 version of duality from the start. |
451 version of duality from the start. |
452 |
452 |
453 |
453 |
454 %\nn{maybe say something about goals: well-suited to TQFTs; avoid proliferation of coherency axioms; |
454 %\nn{maybe say something about goals: well-suited to TQFTs; avoid proliferation of coherency axioms; |