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→Topologies of uniform convergence on arbitrary spaces of maps: Add missing word. Tags: Mobile edit Mobile web edit |
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<li><math>Y</math> is a [[topological vector space]] (not necessarily Hausdorff or locally convex).</li>
<li><math>\mathcal{N}</math> is a basis of neighborhoods of 0 in <math>Y.</math></li>
<li><math>F</math> is a vector subspace of <math>Y^T = \prod_{t \in T} Y,</math><ref group=note>Because <math>T</math> is just a set that is not yet assumed to be endowed with any vector space structure, <math>F \subseteq Y^T</math> should not yet be assumed to consist of linear maps, which is a notation that currently can not be defined.</ref> which denotes the set of all <math>Y</math>-valued functions <math>f : T \to Y</math> with ___domain <math>T.</math></li>
</ol>
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