\frenchspacing
\usepackage{amsthm}
\usepackage{epsfig}
\usepackage{alltt}
\usepackage{makeidx}
\usepackage{newlfont}
\usepackage{young}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{amscd}
%\usepackage[ngerman]{babel}
%\usepackage{verbatim}
%\usepackage{changebar}
%\changebarsep85pt
\renewcommand{\floatpagefraction}{0.4}
\renewcommand{\figurename}{}
\input{xy}
\xyoption{all}

\makeindex
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\UT}{I}%Einheit von Tensorkategorie



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Saetze und dergleichen

\newtheorem{Satz}{Satz}[subsection]
\newtheorem{Problem}[Satz]{Problem}
\newtheorem{Vermutung}[Satz]{Vermutung}
\newtheorem{Folgerung}[Satz]{Folgerung}
\newtheorem{Proposition}[Satz]{Proposition}
\newtheorem{Korollar}[Satz]{Korollar}
\newtheorem{Lemma}[Satz]{Lemma}
\newtheorem{Theorem}[Satz]{Theorem}
\newtheorem{Aufgabe}[Satz]{Aufgabe}
\newtheorem{Quellen}[Satz]{Quellen}
% Satz nummeriert innerhalb der \section
\newtheorem{ESatz}{Satz}[section]

\theoremstyle{definition}
\newtheorem{Definition}[Satz]{Definition}
\newtheorem{Scholium}[Satz]{Scholium}
% Definition nummeriert innerhalb der \section
\newtheorem{EDefinition}[ESatz]{Definition}

\theoremstyle{remark}
\newtheorem{Bemerkungl}[Satz]{}
\newtheorem{Bemerkung}[Satz]{Bemerkung}
\newtheorem{Bemerkungen}[Satz]{Bemerkungen}
\newtheorem{Beispiel}[Satz]{Beispiel}
\newtheorem{Beispiele}[Satz]{Beispiele}
\newtheorem{Ubung}[Satz]{\"{U}bung}
\newtheorem{Ubungen}[Satz]{\"{U}bungen}
\newtheorem{Behauptung}[Satz]{Behauptung}
\newtheorem{Notation}[Satz]{Notation}
\newtheorem{Konventionen}[Satz]{Konventionen}
\newtheorem{Kommentar}{Kommentar}[subsection]

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Abk"urzung f"ur Operatornamen
\newcommand{\op}{\operatorname}
\newcommand{\diff }{\operatorname{d}\!}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Abk"urzungen f"ur Pfeile
\newcommand{\ra}{\rightarrow}
\newcommand{\lea}{\leftarrow}
\newcommand{\lra}{\longrightarrow}
\newcommand{\sra}{\twoheadrightarrow}
\newcommand{\hra}{\hookrightarrow}
\newcommand{\hla}{\hookleftarrow}
\newcommand{\sira}{\stackrel{\sim}{\rightarrow}}
\newcommand{\leftiso}{\stackrel{\sim}{\leftarrow}}
\newcommand{\da}{\downarrow}
\newcommand{\ua}{\uparrow}
\newcommand{\RA}{\Rightarrow}
\newcommand{\IFF}{\Leftrightarrow}
\newcommand{\leftmapsto}{\leftarrow}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Abk"urzungen F"ur Griechische Buchstaben
\newcommand{\al}{\alpha}
\newcommand{\La}{\Lambda}
\newcommand{\va}{\varphi}
\newcommand{\ga}{{\gamma}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Blackboardboldface
\newcommand{\Bl}[1]{{\mathbb{#1}}}
\newcommand{\DK}{\Bl{K}}
\newcommand{\DC}{\Bl{C}}
\newcommand{\DP}{\Bl{P}}
\newcommand{\DR}{\Bl{R}}
\newcommand{\DZ}{\Bl{Z}}
\newcommand{\DN}{\Bl{N}}
\newcommand{\DQ}{\Bl{Q}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Index
\newcommand{\defind}[1]{{\bf #1}\index{#1}}
\newcommand{\defnoind}[1]{{\bf #1}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Spezialsymbole f"ur offene und abgeschlossene Teilmengen
\newcommand{\co}{
{\makebox[6mm]{$\subset$\hspace{-1,1ex}\raisebox{0,15ex}{${\scriptstyle
\circ\;}$}}}}

\newcommand{\As}{\;{\mbox {$\subset \hspace{-2,3ex}$  \raisebox{-0,5ex}
{${\large A}$} }}}

\newcommand{\lco}{\makebox[6mm]{\hspace{-0,5mm}$\supset$
\hspace{-2ex}\raisebox{0,17ex}
{$\scriptstyle \circ$}\hspace{1mm}}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Gruppenoperationen von rechts und links
\newcommand{\ractson}{\uparrow}%vielleicht Pfeil nach links kr"ummend besser
\newcommand{\lactson}{\uparrow}%vielleicht Pfeil nach rechts kr"ummend besser


%%% Local Variables: 
%%% mode: latex
%%% End: