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<p>modern mathematics uses many types of spaces, such as <a href="page.php?w=Euclidean_space">Euclidean space</a>s, <a href="page.php?w=linear_space">linear space</a>s, <a href="page.php?w=topological_space">topological space</a>s, <a href="page.php?w=Hilbert_space">Hilbert space</a>s, or <a href="page.php?w=probability_space">probability space</a>s, it does not define the notion of "space" itself.</p>

<p>A space consists of selected <a href="page.php?w=mathematical_object">mathematical object</a>s that are treated as <a href="page.php?w=Point_%28mathematics%29">points</a>,</p><p>
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