A Note on Whitney Maps
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 373-374
Voir la notice de l'article provenant de la source Cambridge University Press
In his recent book [3] Nadler observes that the property of admitting a Whitney map is of fundamental importance in studying the internal structure of hyperspaces, especially their arc structure. Nadler presents three distinct methods of constructing a Whitney map on the hyperspace 2X of nonempty closed subsets of a continuum.A partially ordered space is a topological space X endowed with a partial order ≤ whose graph is a closed subset of X×X. It is well-known (see, for example, [2], page 167) that if X is a regular Hausdorff space then 2X is a partially ordered space with respect to inclusion.
Jr., L. E. Ward. A Note on Whitney Maps. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 373-374. doi: 10.4153/CMB-1980-055-4
@article{10_4153_CMB_1980_055_4,
author = {Jr., L. E. Ward},
title = {A {Note} on {Whitney} {Maps}},
journal = {Canadian mathematical bulletin},
pages = {373--374},
year = {1980},
volume = {23},
number = {3},
doi = {10.4153/CMB-1980-055-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-055-4/}
}
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[4] 4. Ward, L. E. Jr., Partially ordered topological spaces, Proc. Amer. Math. Soc, 5 (1954), 144-161. Google Scholar
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