nline">\((n+1)\)</span> dimensions, it is
only an <span class="math inline">\(n\)</span>-dimensional manifold. For example, <span class="math inline">\(S^2\)</span> is defined as a
set of points in <span class="math inline">\(\mathbb{R}^3\)</span>, but each such point may be described
uniquely by a latitude and longitude. Geometrically, the surface
defined by <span class="math inline">\(S^2\)</span> in <span class="math inline">\(\mathbb{R}^3\)</span> behaves locally like a plane, i.e.,
<span class="math in