3 citations · 4 across the 3 of their papers we have counts for
4 papers
Magnitude Homology, Diagonality, Medianness, Künneth and Mayer-Vietoris
Rémi Bottinelli, Tom Kaiser
Magnitude homology of graphs is introduced by Hepworth and Willerton in arXiv:1505.04125 . Magnitude homology of arbitrary metric spaces by Leinster and Shulman in arXiv:1711.00802…
The first uniformly finite homology group with coefficients in and a characterisation of its vanishing in the transitive case
Rémi Bottinelli, Tom Kaiser
We study the first uniformly finite homology group of Block and Weinberger for uniformly locally finite graphs, with coefficients in and . When the graph…
Telescopic groups and symmetries of combinatorial maps
Rémi Bottinelli, Laura Grave de Peralta, Alexander Kolpakov
In the present paper, we show that many combinatorial and topological objects, such as maps, hypermaps, three-dimensional pavings, constellations and branched coverings of the two-…
Three-dimensional maps and subgroup growth
Rémi Bottinelli, Laura Ciobanu, Alexander Kolpakov
In this paper we derive a generating series for the number of cellular complexes known as pavings or three-dimensional maps, on darts, thus solving an analogue of Tutte's probl…