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<p>definition adapts the presentation of a topological space in terms of <a href="page.php?w=neighborhood_system">neighborhood system</a>s. A nonempty collection  of subsets of  is a <b><i>' (or a </i></b>') if it satisfies the following axioms:<br/>
# If  then  where  is the diagonal on <br/>
# If  and  then <br/>
# If  and  then <br/>
# If  then there is some  such that , where  denotes the composite of  with itself. The <a href="page.php?w=Composition_of_relations">composite</a> of two subsets  and  of  is defined by <br/>
# If  then  where </p><p>
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