4 papers
Injective hom-complexity between groups
Cesar A. Ipanaque Zapata, Martha O. Gonzales Bohorquez
We present the notion of injective hom-complexity, leading to a connection between the covering number of a group and the sectional number of a group homomorphism, and provide esti…
(Injective) facet-complexity between simplicial complexes
Cesar A. Ipanaque Zapata, Ayse Borat
We present the notion of facet-complexity, , for two simplicial complexes and , along with basic results for this numerica…
The sectional number of a group homomorphism
Cesar A. Ipanaque Zapata, Joe Palacios
We explore the notion of sectional number of a group homomorphism, leading to a generalization of the covering number of a group, and present several characterizations when the sec…
The étale sectional number is either 1 or infinity
Cesar A. Ipanaque Zapata
In this work, we show that the étale sectional number (\text{Ãtale-sec}), i.e., the sectional number in the category of topological spaces with the étale quasi Grothendieck…