3 papers
math.GN2024
Finite approximations of countable metric and ultrametric compacta
Diego Mondéjar
Adapting a homotopy reconstruction theorem for general metric compacta, we show that every countable metric or ultrametric compact space can be topologically reconstructed as the i…
math.GN2024
Hausdorff reflection preserves shape
Diego Mondéjar
We show that the Hausdorff reflection preserves the shape type of spaces. Some examples as well as the applicability in inverse limits of finite spaces are presented.
math.GT2023
On a finite type Multivalued Shape
Diego Mondéjar
We briefly review the origins and development of Borsuk's Theory of Shapes and the Multivalued Shape of Sanjurjo. We use a construction over metric compacta using hyperspaces to de…