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math.GN2001
Dense families of selections and finite-dimensional spaces
V. Gutev, V. Valov
A characterization of -dimensional spaces via continuous selections avoiding -sets is given, and a selection theorem for strongly countable-dimensional spaces is establishe…
math.GN2001
On dimensionally restricted maps
H. Murat Tuncali, Vesko Valov
Some results of B. Pasynkov and H. Torunczyk on finite-dimensional maps are improved. A generalization of a Dranishnikov-Uspenskij theorem about extensional dimension is also obtai…