% Macros by Lee Mosher
%
%
%
% math symbols
%
\def\leftceiling{{\lceil}}
\def\rightceiling{{\rceil}}
\def\Reals{{\bf R}}
\def\reals{\Reals}
\def\Integers{{\bf Z}}
\def\integers{\Integers}
\def\rationals{{\bf Q}}
\def\Hyperbolic{{\bf H}}
\def\hyperbolic{\Hyperbolic}
\def\Euclidean{{\bf E}}
\def\euclidean{\Euclidean}
\def\Complex{{\bf C}}
\def\complex{\Complex}
\def\union{\cup}
\def\Union{\bigcup}
\def\intersect{\cap}
\def\intersection{\intersect}
\def\Intersection{\bigcap}
\def\inverse{{-1}}
\def\boundary{\partial}
\def\bd{\boundary}
\def\bdy{\boundary}
\def\suchthat{\bigm|}
\def\composed{\circ}
\def\comp{\composed}
\def\restrictedto{\bigm|}
\def\isomorphic{\approx}
\def\cross{\times}
\def\origin{{\bf O}}
\def\half{{1\over2}}
\def\inclusion{\hookrightarrow}
\def\infinity{\infty}
\def\concat{\ast}
\def\Sum{\sum}
\def\superset{\supset}
\def\from{\colon}
\def\homeo{\approx}
\def\disjunion{\coprod}
\def\tensor{\otimes}

%fix the next one
\def\directsum{{\bf +}}

%
%
% Math tokens of more than one letter
%
\def\func#1{\operatorname{#1}}
\def\Core{\func{Core}}
\def\Stable{\func{Stable}}
\def\Unstable{\func{Unstable}}
\def\cl{\func{cl}}
\def\closure{\cl}
\def\image{\func{image}}
\def\diam{\func{diam}}
\def\Isom{\func{Isom}}
\def\interior{\func{int}}
\def\Area{\func{Area}}
\def\area{\Area}
\def\Volume{\func{Vol}}
\def\volume{\Volume}
\def\Vol{\Volume}
\def\Length{\func{Length}}
\def\domain{\func{Domain}}
\def\range{\func{Range}}
\def\supp{\func{Supp}}
\def\source{\func{Srce}}
\def\target{\func{Targ}}






% Names with funny marks over the letters
\def\Mobius{M\"obius}
\def\Poincare{Poincar\'e}
\def\Teichmuller{Teichm\"uller}



