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<p>Other fields of mathematics are concerned with objects that are rarely considered as topological spaces. Nonetheless, definitions of connectedness often reflect the topological meaning in some way. For example, in <a href="page.php?w=category_theory">category theory</a>, a <a href="page.php?w=category_%28mathematics%29">category</a> is said to be <a href="page.php?w=connected_category">connected</a> if each pair of objects in it is joined by a sequence of <a href="page.php?w=morphism">morphism</a>s. Thus, a category is connected if it is, intuitively,</p><p>
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