Sentence examples for continuous mappings from inspiring English sources

Let be a complete -metric space, and one to one continuous mappings, continuous mapping commutative with and.

Manifolds can be complicated, but it turned out that their geometry, and the nature of the functions on them, is largely controlled by their topology, the rather coarse properties invariant under one-to-one continuous mappings.

The results of these simulations demonstrate that, contrary to popular opinion, continuous mappings such as the Gal-Chen and Somerville transformation are not inherently limited to gentle slopes.

We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings on a compact convex subset of a separated locally convex space.

Thus, there exist the categories of sets (with empty structure) and mappings, of groups and group-homomorphisms, of rings and ring-homomorphisms, of vector spaces and linear transformations, of topological spaces and continuous mappings, and so on.

Banach contractions are continuous mappings.

Define continuous mappings from into by.

(⋆4.1) F and G are continuous mappings.

Let with, let be continuous mappings with, and let (2.23).

However, there are some half-continuous mappings which are not u.d.c.. To see this, consider the mapping defined by (4.4).

There are some half-continuous mappings which are not continuous.