P. Krupski

activity

20082024

most citedOn the spectrum of the hierarchical Laplacian

18 citations · 55 across the 12 of their papers we have counts for

collaborators

13 papers

math.GN2024

On hyperspaces of knots and planar simple closed curves

Paweł Krupski, Krzysztof Omiljanowski

We consider the Vietoris hyperspaces $S (R^{n})$ of simple closed curves in $R^{n}$ , $n = 2, 3$ , and their subspaces $S_{P} (R^{2})$ of planar simple c…

math.GN2023

On generalized $V^{n}$ -continua

A. Karassev, P. Krupski, V. Todorov +1

The notion of a $V^{n}$ -continuum was introduced by Alexandroff \cite{ps} as a generalization of the concept of $n$ -manifold. In this note we consider the cohomological analogue of $…

math.GN2021

On the descriptive complexity of homogeneous continua

Paweł Krupski

It is shown that the family of all homogeneous continua in the hyperspace of all subcontinua of any finite-dimensional Euclidean cube or the Hilbert cube is an analytic subspace of…

math.GN2019

Hyperspaces of countable compacta

Taras Banakh, Paweł Krupski, Krzysztof Omiljanowski

Hyperspaces $H (X)$ of all countable compact subsets of a metric space $X$ and $A_{n} (X)$ of infinite compact subsets which have at most $n$ ( $n \in N$ ), or fi…

math.GN2018

The complexity of homeomorphism relations on some classes of compacta

Paweł Krupski, Benjamin Vejnar

We prove that the homeomorphism relation between compact spaces can be continuously reduced to the homeomorphism equivalence relation between absolute retracts which strengthens an…

math.GN2018★ 3 cited

Hyperspaces of continua with connected boundaries in $π$ -Euclidean Peano continua