7 papers
Infinite dimensional sequential compactness: Sequential compactness based on barriers
Cesar Corral, Osvaldo Guzman, Carlos Lopez-Callejas +3
We introduce a generalization of sequential compactness using barriers on extending naturally the notion introduced in [W. Kubiś and P. Szeptycki, On a topological Ramsey theor…
High dimensional sequential compactness
César Corral, Osvaldo Guzmán, Carlos López-Callejas
We give examples of -sequentially compact spaces that are not -sequentially compact under several assumptions. We improve results from Kubis and Szeptycki by building suc…
Fin-intersecting MAD families
Cesar Corral, Vinicius de O. Rodrigues
We introduce a new class of almost disjoint families which we call fin-intersecting almost disjoint families. They are related to almost disjoint families whose Vietoris Hyperspace…
Submaximal spaces and cardinal invariants
César Corral
We give a combinatorial characterization of countable submaximal subspaces of . Using a parametrized version of Mathias forcing, we prove that there exists a countable submaxi…
Madness and (weak) normality
César Corral
We consider weakenings of normality in -spaces and prove that the existence of a MAD family whose -space is almost-normal is independent of \textsf{ZFC}. We also construct a…
Dixmier traces for discrete pseudo-differential operators
Duván Cardona, César del Corral, Vishvesh Kumar
In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on . In this setting, we introduce a suitable no…
The Dixmier trace and the noncommutative residue for multipliers on compact manifolds
Duván Cardona, César Del Corral
In this paper we give formulae for the Dixmier trace and the noncommutative residue (also called Wodzicki's residue) of pseudo-differential operators by using the notion of global…