Locally

In mathematics, something is said to occur locally in the category of topological spaces if it occurs on "small enough" open sets.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Given some notion of equivalence (e.g., homeomorphism, diffeomorphism, isometry) between

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

topological spaces, two spaces are locally equivalent if every point of the first space has a neighborhood which is equivalent to a neighborhood of the second space.

Category of topological spaces: In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again continuous. The study of Top and of properties of topologica...

Open set: In topology and related fields of mathematics, a set U is called open if, intuitively speaking, you can "wiggle" or "change" any point x in U by a small amount in any direction and still be inside U....

Homeomorphism: :This word should not be confused with homomorphism....

Locally related Images and Photos (experimental)

Buy Locally Made in China Tote Bag

Locally-Crafted Guitars Cabo San Lucas Baja California Sur Mexico