9 citations · 13 across the 11 of their papers we have counts for
11 papers
Closure and Interior Operators of the Category of Positive Topologies
Joaquín Luna-Torres
We define and study the notions of closure $\text{\rsfs{C}}$ operators and interior operators of the category of convergent covers which appears in pos…
Interor and h operators on the category of locales
JoaquÍn Luna-Torres
We present the concept of interior operator on the category of locales and then we construct a topological category \linebreak $\big(\mathbf{I\text{-}Loc},\ U\bi…
Analyzing the effect of cell rearrangement on Delta-Notch pattern formation
Toshiki Oguma, Hisako Takigawa-Imamura, Tomoyasu Shinoda +5
The Delta-Notch system plays a vital role in a number of areas in biology and typically forms a salt and pepper pattern in which cells strongly expressing Delta and cells strongly…
Filters and G-convergence in Categories
Joaquin Luna-Torres
In analogy with the classical theory of filters, for finitely complete categories, we provide the concepts of filter, G-neighborhood (short for \Grothendieck-neighborhood") and cov…
Grothendieck-topological Group Objects
Joaquin Luna-Torres
In analogy with the classical theory of topological groups, for finitely complete categories enriched with Grothendieck topologies, we provide the concepts of localized G-topologic…
Sheaves in Elementary Mathematics: The case of positive integer numbers
Joaquin Luna-Torres
We aim to use the concept of sheaf to establish a link between certain aspects of the set of positive integers numbers, a topic corresponding to the elementary mathematics, and som…