Locally


 
 
Locally

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

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

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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
Buy Locally Made in China Tote Bag
Locally-Crafted Guitars  Cabo San Lucas  Baja California Sur  Mexico
Locally-Crafted Guitars Cabo San Lucas Baja California Sur Mexico

~ Table of Content ~

Introduction
Binary relation
Unary relation
 


 

~ Related Subjects ~

Mathematics (3) - Continuous map (1) - Morphism (1) - Topological space (1) - Composition (1) - Set (1) - Topology (1) - Category theory (1) - Homeomorphism (1) - Open set (1) - Category of topological spaces (1) - Diffeomorphism (1) - Object (1) - Category (1) - Isometry (1) -
 

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