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17 In one direction, Example \ref{ex:traditional-n-categories(fields)} |
17 In one direction, Example \ref{ex:traditional-n-categories(fields)} |
18 shows how to construct a system of fields from a (traditional) $n$-category. |
18 shows how to construct a system of fields from a (traditional) $n$-category. |
19 We do this in detail for $n=1,2$ (\S\ref{sec:example:traditional-n-categories(fields)}) |
19 We do this in detail for $n=1,2$ (\S\ref{sec:example:traditional-n-categories(fields)}) |
20 and more informally for general $n$. |
20 and more informally for general $n$. |
21 In the other direction, |
21 In the other direction, |
22 our preferred definition of a disk-like $n$-category in \S\ref{sec:ncats} is essentially |
22 our preferred definition of an $n$-category in \S\ref{sec:ncats} is essentially |
23 just a system of fields restricted to balls of dimensions 0 through $n$; |
23 just a system of fields restricted to balls of dimensions 0 through $n$; |
24 one could call this the ``local" part of a system of fields. |
24 one could call this the ``local" part of a system of fields. |
25 |
25 |
26 Since this section is intended primarily to motivate |
26 Since this section is intended primarily to motivate |
27 the blob complex construction of \S\ref{sec:blob-definition}, |
27 the blob complex construction of \S\ref{sec:blob-definition}, |