24 citations · 26 across the 10 of their papers we have counts for
10 papers
Non-standard cohomology for equivariant sheaves: The role of generic models
Gabriel Padilla, Andres Villaveces
We generalize the Generic Model Theorem for equivariant presheaves of structures; extending the results of Macintyre and Caicedo. We also introduce a new class of generic cohomolog…
Sheaves of G-structures and generic G-models
Gabriel Padilla, Andrés Villaveces
In this article we give an equivariant version for the construction of generic models on presheaves of structures. We deal with first order structures endowed with a suitable actio…
A Ramsey space of infinite polyhedra and the random polyhedron
Jose G. Mijares, Gabriel Padilla
In this paper we introduce a new topological Ramsey space whose elements are infinite ordered polyhedra. Then, we show as an application that the set of finite polyhedra satisfies…
-Analog Singular Homology of Convex Spaces
Mauricio Angel, Gabriel Padilla
In this article we study some interesting properties of the -Analog singular homology, which is a generalization of the usual singular homology, suitably adapted to the context…
On Limit Amalgamations of Stratififed Spaces
Jose Mijares, Gabriel Padilla
In this article we prove that stratified spaces and other geometric subfamilies satisfy categorical Fraïssé properties, a matter that might be of interest for both geometers and lo…
Categorical Properties Of Smooth Unfoldings On Stratified Spaces
T. Guardia, G. Padilla
In a previous work we proved the uniqueness and functoriality of primary unfoldings on simple Thom-Mather spaces, which is a functor to the category of smooth manifolds. In this ar…
On The Functorialrily Of Stratified Desingularizations
Tomas Guardia, Gabriel Padilla
This article is devoted to the study of smooth desingularization, which are customary employed in the definition of De Rham Intersection Cohomology with differential forms. In this…
The Gysin Sequence for -actions on stratified pseudomanifolds
G. Padilla
For any stratified pseudomanifold and any suitable action of the unit circle on preserving the strata and the local topological structure, the orbit space i…
Intersection Cohomology of S1-Actions on Pseudomanifolds
G. Padilla
For any smooth free action of the unit circle S1 on a smooth manifold M, the Gysin sequence of M is a long exact sequence relating the DeRham Cohomology of M and the orbit space M/…
On Normal Stratified Pseudomanifolds
G. Padilla
A stratified pseudomanifold is normal if its links are connected. A normalization of a stratified pseudomanifold is a normal stratified pseudomanifold together with a finit…