316 citations · 1.6k across the 59 of their papers we have counts for
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Topology on locally finite metric spaces
Valerio Capraro
The necessity of a theory of General Topology and, most of all, of Algebraic Topology on locally finite metric spaces comes from many areas of research in both Applied and Pure Mat…
Solution of Wald's game using loadings and allowed strategies
Valerio Capraro
We propose a new interpretation of the strange phenomena that some authors have observed about the Wald game. This interpretation is possible thanks to the new language of \emph{lo…
On the axiomatization of convex subsets of Banach spaces
Valerio Capraro, Tobias Fritz
We prove that any convex-like structure in the sense of Nate Brown is affinely and isometrically isomorphic to a closed convex subset of a Banach space. This answers an open questi…
Optimal strategies for a game on amenable semigroups
Valerio Capraro, Kent Morrison
The semigroup game is a two-person zero-sum game defined on a semigroup S as follows: Players 1 and 2 choose elements x and y in S, respectively, and player 1 receives a payoff f(x…
Cyclic Hilbert spaces and Connes' embedding problem
Valerio Capraro, Florin Radulescu
Let be a -factor with trace , the linear subspaces of are not just common Hilbert spaces, but they have additional structure. We introduce the notion of a c…