Arcwise connected continua and Whitney maps (CROSBI ID 125828)
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Podaci o odgovornosti
Lončar, Ivan
engleski
Arcwise connected continua and Whitney maps
Let 𝑋 be a non-metric continuum, and 𝐶(𝑋) be the hyperspace of subcontinua of 𝑋. It is known that there is no Whitney map on the hyperspace 2𝑋 for non-metric Hausdorff compact spaces 𝑋. On the other hand, there exist non-metric continua which admit and ones which do not admit a Whitney map for 𝐶(𝑋). In particular, a locally connected or a rimmetrizable continuum 𝑋 admits a Whitney map for 𝐶(𝑋) if and only if it is metrizable. In this paper we investigate the properties of continua 𝑋 which admit a Whitney map for 𝐶(𝑋) or for 𝐶2(𝑋).
arcwise connected continuum ; hyperspace ; inverse system ; Whitney map
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Podaci o izdanju
12 (2)
2005.
321-330
objavljeno
1072-947X
1572-9176
10.1515/GMJ.2005.321