-Ponomarev’s System and Images of Locally Separable Metric Spaces
Level sets of uniform quotient mappings from Rn to R do not need to be locally connected.
We give an example of a uniform quotient map from R2 to R which has non-locally connected level sets.
Lie generators for semigroups of transformations on a Polish space.
Linear bilipschitz extension property.
Lipschitz extensions and Lipschitz retractions in metric spaces
Lipschitz pairs of metric subspaces
Local expansions, derivatives, and fixed points
Local Lipschitz property for the Chebyshev center mapping over N-nets
Locallyn-Connected Compacta and UV n -Maps
We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other. We also provide the following spectral characterizations of ALCn and celllike compacta: A compactum X is ALCn if and only if X is the limit space of a σ-complete inverse system S = {Xα , pβ α , α < β < τ} consisting of compact metrizable LCn-spaces Xα such that all bonding...