Symbols:Fonts/mathcal

Font Description
Mathcal is a calligraphic font built into $\LaTeX$.

Its uppercase alphabet is:


 * $\AA$ $\BB$ $\CC$ $\DD$ $\EE$ $\FF$ $\GG$ $\HH$ $\II$ $\JJ$ $\KK$ $\LL$ $\MM$ $\NN$ $\OO$ $\PP$ $\QQ$ $\RR$ $\SS$ $\TT$ $\UU$ $\VV$ $\WW$ $\XX$ $\YY$ $\ZZ$

It can also be used to present numbers in a lowercase style thus:


 * $\mathcal 1$ $\mathcal 2$ $\mathcal 3$ $\mathcal 4$ $\mathcal 5$ $\mathcal 6$ $\mathcal 7$ $\mathcal 8$ $\mathcal 9$ $\mathcal 0$

The lowercase letters are not implemented in Mathcal.

The individual letters of this font and their various uses on are listed on this page as well as on the pages for the letters themselves.

For the uppercase alphabet, has defined some custom $\LaTeX$ commands for convenience, in the following way:



And so on.

For numbers, the conventional coding is used:



$\BB$
This is used to denote a basis in topology.

An example of an introduction of this would be:


 * "Let $\tuple {X, \tau}$ be a topological space."


 * "Let $\mathcal B$ be a basis for $\tau$."

$\CC$
This is used to denote a cover.

An example of an introduction of this would be:


 * Let $S$ be a set.


 * Let $\CC$ be a cover for $S$.

$\OO$
This is used for Big-O Notation.

$\PP$
This is used to denote power set.

To introduce the power set of a set $S$ we would state:


 * Let $S$ be a set, and let $\powerset S$ be its power set.

$\RR$
This is used for binary relations.

For example to introduce a binary relation on $S \times T$ we would state:


 * Let $\RR \subseteq S \times T$ be a relation.