8 citations · 11 across the 5 of their papers we have counts for
5 papers
The mapping index through the lens of the cross-index
Vuong Bui, Hamid Reza Daneshpajouh, Roman Karasev
We study the cross-index of free \(G\)-posets as a combinatorial analogue of the equivariant topological index. We demonstrate that the cross-index exhibits many structural propert…
Rogers's proof of Vaaler's theorem
Roman Karasev
We note that an argument by Rogers (1958) gives a proof of Vaaler's theorem (1979) about sections of the cube and allows certain generalizations of the theorem.
Short proofs of Tverberg-type theorems for cell complexes
Roman Karasev, Arkadiy Skopenkov
We present short proofs of Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power , any comp…
Some `converses' to intrinsic linking theorems
R. Karasev, A. Skopenkov
A low-dimensional version of our main result is the following `converse' of the Conway-Gordon-Sachs Theorem on intrinsic linking of the graph in 3-space: For any integer …
The genus and the category of configuration spaces
R. N. Karasev
In this paper configuration spaces of smooth manifolds are considered. The accent is made on actions of certain groups (mostly -tori) on this spaces by permuting their points. F…