On finite-dimensional maps
نویسندگان
چکیده
منابع مشابه
On Finite-dimensional Maps
Let f : X → Y be a perfect surjective map of metrizable spaces. It is shown that if Y is a C-space (resp., dimY ≤ n and dim f ≤ m), then the function space C(X, I ∞ ) (resp., C(X, I 2n+1+m )) equipped with the source limitation topology contains a dense Gδ-set H such that f ×g embeds X into Y × I ∞ (resp., into Y × I 2n+1+m ) for every g ∈ H. Some applications of this result are also given.
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ژورنال
عنوان ژورنال: Tsukuba Journal of Mathematics
سال: 2004
ISSN: 0387-4982
DOI: 10.21099/tkbjm/1496164719