Why does $\mathbb{w}$ not compile correctly? [closed]

Question

I'm using the following code to generate a math-typed $W$ in a LaTeX document. The preamble is given for reference,

\documentclass[a4paper,12pt,openany,twoside]{memoir}
\usepackage[utf8x]{inputenc}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\begin{document}
\begin{equation}
\mathbb{W}
\end{equation}
\end{document}

\mathbb{W} renders correctly when placed in its own equation environment,

However as part of a larger equation or in an inline math environment \mathbb{W} renders as the greater than or equal sign,

The code used for inline math is for example,

set $\mathbb{w}$ has

An equation that does not render is for example,

\begin{equation}
\mathbb{w}^* 
\end{equation}

Answer 1

You have to use capital letters to correctly render mathbb:

\begin{equation}
\mathbb{W}^* 
\end{equation}

does render what you want.