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Results tagged with infinite-dimensional-manifolds
Search options questions only
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user 95718
38
votes
1
answer
1k
views
Sequences with 0's in $\mathbb R ^\omega$
Let $\mathbb R ^\omega$ be the set of all sequences of real numbers in the product topology.
Let $X$ be the set of all sequences in $\mathbb R ^\omega$ which have at least one 0.
Let $Y$ be the set of …
- 3,317
3
votes
1
answer
222
views
$\sigma$-product of the Hilbert cube
Given a homogeneous space $X$ and $p\in X$, we define the sigma product to be the following subspace of $X^\omega$: $$\sigma X=\{\mathbf x \in X^\omega:x_n=p\text{ eventually}\}$$
("eventually" means …
- 3,317