Weakly developable and weakly k-developable spaces, and the Vietoris topology

Developable Spaces and Nearness Structures

Necessary and sufficient conditions on a nearness structure are provided for which the underlying topology is developable. It is also shown that a topology is developable if and only if it admits a compatible nearness structure with a countable base. Finally it is shown that a topological space is embeddable in a complete Moore space if and only if it admits a compatible nearness structure sati...

Some Characterizations of Developable Spaces

Two characterizations of developable spaces are proved which may be viewed as analogues, for developable spaces, of the Nagata-Smirnov metrization theorem or of the "double sequence metrization theorem " of Nagata respectively.

Cleavability and divisibility over developable spaces

Some results on cleavability theory are presented. We also show some new [16]’s results.

ε-weakly Chebyshev subspaces and quotient spaces

Deforming Developable Surfaces

One of the techniques in digital geometry processing that has been studied for many years is mesh deformation. Recently, researchers have proposed deformation methods that preserve certain aspects of the mesh, such as geometric features and material properties. In this project we look at preserving developability of a surface. Specifically, if it is known that a surface is developable before de...