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- W2012171331 abstract "A metric space $(X,d)$, which is a countable union of finite-dimensional compacta, is a manifold modelled on the space $l_2^f = { ({x_i}) in {l_2}$ all but finitely many ${x_i} = 0}$ iff $X$ is an ANR and the following condition holds: given $varepsilon > 0$, a pair of finite-dimensional compacta $(A,B)$ and a map $f:A to X$ such that $f|B$ is an embedding, there is an embedding $g:A to X$ such that $gleft | {B = f} right |B$ and $d(f(x),g(x)) < varepsilon$ for all $x in A$. An analogous condition characterizes manifolds modelled on the space $Sigma = { ({x_i}) in {l_2}:sum _{i = 1}^infty {(i{x_i})^2} < infty }$." @default.
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- W2012171331 date "1984-01-01" @default.
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- W2012171331 title "Characterizing the topology of infinite-dimensional $sigma $-compact manifolds" @default.
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