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Expand file tree Collapse file tree Original file line number Diff line number Diff line change 88 name : Answer to "Is the weak topology on $\mathbb{R}^{\infty}$ the same as the box topology?"
99 - mathse : 5012784
1010 name : Answer to "Is $\ell^\infty$ with box topology connected?"
11+ - zb : " 0298.57008"
12+ name : Characteristic classes (Milnor-Stasheff)
13+ - zb : " 0307.55015"
14+ name : Fibre bundles. 2nd ed. (Husemoller)
15+ - zb : " 1280.54001"
16+ name : Geometric aspects of general topology. (Sakai)
17+ - wikipedia : Fréchet–Urysohn_space
18+ name : Fréchet–Urysohn space on Wikipedia
1119---
1220The subset $\mathbb{R}^\infty$ of eventually $0$ sequences in $\mathbb{R}^\omega$, with the finest
1321topology such that the standard inclusion maps $\mathbb{R}^n \hookrightarrow \mathbb{R}^\infty$,
@@ -30,3 +38,7 @@ $\mathbb{R}^\omega$. Hence $\mathbb{R}^\infty$ embeds into {{S107}}
3038as a path component.
3139
3240For general discussion on direct limits, see {{wikipedia: Direct_limit }}.
41+
42+ Defined on page 62 of {{zb:"0298.57008"}}, on page 2 of {{zb:"0307.55015"}},
43+ on page 56 of {{zb:"1280.54001}}, and on {{wikipedia: Fr échet–Urysohn_space}}
44+ under Direct limit of finite-dimensional Euclidean spaces.
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