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<record version="7" id="888">
 <title>Enriched Category Theory</title>
 <name>EnrichedCategoryTheory</name>
 <created>2010-11-01 00:27:13</created>
 <modified>2010-11-01 00:49:18</modified>
 <type>Topic</type>
 <creator id="441" name="bci1"/>
 <modifier id="441" name="bci1"/>
 <author id="441" name="bci1"/>
 <classification>
	<category scheme="msc" code="00."/>
 </classification>
 <keywords>
	<term>Kan adjointness</term>
	<term>enriched categories</term>
	<term>weak Yoneda Lemma</term>
 </keywords>
 <preamble></preamble>
 <content>\section{Enriched Category Theory}

\subsection{Monoidal Categories} 

$2 -ategory$ VCAT for a monoidal V category
$2 functor$, $F: VCAT \to CAT$

Tensor products and duality  

Closed and bi-closed bimonoidal categories 

Representable V functors 

Extraordinary V naturality and the V naturality of the canonical maps 

\subsection{The Weak Yoneda Lemma for VCAT}


\subsection{Adjunctions and equivalences in VCAT}

\subsection{$2-Functor$ categories} 


\textbf{more to come}</content>
</record>
