The rhombicuboctahedron is used in three uniform space-filling tessellations : the cantellated cubic honeycomb, the runcitruncated cubic honeycomb, and the runcinated alternated cubic honeycomb.
42.
Since uniform spaces come as topological spaces and uniform isomorphisms are homeomorphisms, every topological property of a uniform space is also a uniform property.
43.
They chose the reference 10 degree observer and Illuminant D65 to characterize the uniform space and a neutral gray background of 30 % reflectance.
44.
Since uniform spaces come as topological spaces and uniform isomorphisms are homeomorphisms, every topological property of a uniform space is also a uniform property.
45.
The most general situation in which Cauchy nets apply is Cauchy spaces; these too have a notion of completeness and completion just like uniform spaces.
46.
A consequence is a generalisation of the Heine-Cantor theorem : each continuous function from a compact Hausdorff space to a uniform space is uniformly continuous.
47.
The conceptual difference between uniform and topological structures is that, in a uniform space, one can formalize certain notions of relative closeness and closeness of points.
48.
He introduced the concept of a uniform space in general topology, as a by-product of his collaboration with Nicolas Bourbaki ( of which he was a Founding Father ).
49.
The name " Mittag-Leffler " for this condition was given by Bourbaki in their chapter on uniform structures for a similar result about inverse limits of complete Hausdorff uniform spaces.
50.
Any function from a discrete topological space to another topological space is category of topological spaces and continuous maps or in the category of uniform spaces and uniformly continuous maps.
