Semi - aposyndetic continuum X is metrizable if and only if it
نویسنده
چکیده
The main purpose of this paper is to prove the metrizability of semi-aposyndetic continuum X which admits a Whitney map for C(X).
منابع مشابه
Semi-terminal Continua in Kelley Spaces
A continuum K in a space X is said to be semi-terminal if at least one out of every two disjoint continua in X intersecting K is contained in K. Based on this concept, new structural results on Kelley continua are obtained. In particular, two decomposition theorems for Kelley continua are presented. One of these theorems is an improved version of the aposyndetic decomposition theorem for Kelley...
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The purpose of this paper is to prove that a C-continuum X is metrizable if and only if it admits a Whitney map for C(X) (Theorem 2.5). 2000 Mathematics Subject Classification: 54B20, 54F15, 54B35.
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