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Orbit configuration spaces of small covers and quasi-toric manifolds
In this article, we investigate the orbit configuration spaces of some equivariant closed manifolds over simple convex polytopes in toric topology,...
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A survey of the homotopy properties of inclusion of certain types of configuration spaces into the Cartesian product
Let X be a topological space. In this survey the authors consider several types of configuration spaces, namely, the classical (usual) configuration...
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Fixed points of n-valued maps on surfaces and the Wecken property—a configuration space approach
In this paper, we explore the fixed point theory of n -valued maps using configuration spaces and braid groups, focusing on two fundamental problems,...
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The realizable extension problem and the weighted graph (K 3,3, l)
This note outlines the realizable extension problem for weighted graphs and provides a detailed analysis of this problem for the weighted graph ( K ...
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The rational cohomology of \({\overline{\mathcal{M}_4}}\)
We present two approaches to the study of the cohomology of moduli spaces of curves. Together, they allow us to compute the rational cohomology of...
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Configuration spaces on the sphere and higher loop spaces
We show that the homology over a field of the space Λ n Σ n X of free maps from the n -sphere to the n -fold suspension of X depends only on the...