Baire spaces and weak topologies generated by gap and excess functionals
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László Zsilinszky (1999)
Mathematica Slovaca
Charatonik, Janusz J., Illanes, Alejandro (2004)
International Journal of Mathematics and Mathematical Sciences
Jeremy T. Tyson (2005)
Fundamenta Mathematicae
We study the bi-Lipschitz embedding problem for metric compacta hyperspaces. We observe that the compacta hyperspace K(X) of any separable, uniformly disconnected metric space X admits a bi-Lipschitz embedding in ℓ². If X is a countable compact metric space containing at most n nonisolated points, there is a Lipschitz embedding of K(X) in ; in the presence of an additional convergence condition, this embedding may be chosen to be bi-Lipschitz. By way of contrast, the hyperspace K([0,1]) of the...
R. Vasudevan, C. K. Goel (1981)
Matematički Vesnik
Lutz Heindorf (1990)
Fundamenta Mathematicae
Giuseppe Di Maio, Ljubiša D. R. Kočinac (2008)
Matematički Vesnik
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