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20112023
most citedUniversal valued Abelian groups

9 citations · 38 across the 24 of their papers we have counts for

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8 papers · 1 filter

math.GN2023★ 1 cited

Extensive approach to absolute homogeneity

Piotr Niemiec

The main aim of the paper is to study in greater detail absolutely homogeneous structures (that is, objects with the property that each partial isomorphism extends to a global auto…

math.GN2011

Problem with almost everywhere equality

Piotr Niemiec

A topological space is said to have (AEEP) if the following condition is fulfilled. Whenever is a measurable space and are two measurable fun…

math.GN2011

Normal systems over ANR's, rigid embeddings and nonseparable absorbing sets

Piotr Niemiec

Most of results of Bestvina and Mogilski [\textit{Characterizing certain incomplete infinite-dimensional absolute retracts}, Michigan Math. J. \textbf{33} (1986), 291--313] on stro…

math.GN2011★ 6 cited

Spaces of measurable functions

Piotr Niemiec

For a metrizable space and a finite measure space let and be the spaces of all equivalence classes (under the relation of equality almo…

math.GN2011

Extending maps by injective --maps in Hilbert manifolds

Piotr Niemiec

The aim of the paper is to prove that if is a metrizable manifold modelled on a Hilbert space of dimension and is its --set, then for every completel…

math.GN2011★ 2 cited

Functor of continuation in Hilbert cube and Hilbert space

Piotr Niemiec

A -set in a metric space is a closed subset of such that each map of the Hilbert cube into can uniformly be approximated by maps of into .…

math.GN2011★ 3 cited

A note on ANR's

Piotr Niemiec

It is shown that if for a complete metric space there is a constant such that the intersection of open balls is nonempty for every fin…

math.GN2011★ 9 cited

Universal valued Abelian groups

Piotr Niemiec

The counterparts of the Urysohn universal space in category of metric spaces and the Gurarii space in category of Banach spaces are constructed for separable valued Abelian groups…