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Topology
N/A
25
Mathematics
Graduate
08/21/2009

Additional Mathematics Flashcards

 


 

Cards

Term
automorphism
Definition
isomorphism of a space with itself
(ex. identity function, reversal, rotation, dilation)
Term
correspondence
Definition
map that is onto and one-to-one
Term

 


input

Definition

 

 

domain set

 

Term

 

 


Definition

 

 

Empty set (null)

Term

 

 


Definition

 

 

Member of

Term

 

 


Definition

 

 

Intersection

Term

 

 


Definition

 

 

Union

Term

 

 

Definition

 

 

Subset

Term

 

 


Definition

 

 

Subset / proper

Term

 

 


Definition

 

 

Superset / proper

Term

 

 

Αα

Definition

 

 

alpha

Term

 

 

Ββ

Definition

 

 

beta

Term

 

 

Δδ

Definition

 

 

delta

Term

 

 

Εε

Definition

 

 

epsilon

Term

 

 

Range

Definition

 

 

Codomain

Term

 

 

Set

Definition

 

 

a collection of points

Term

 

 

domain

Definition

 

the set of input values in a function

Term

 

 

homotopy

Definition

 

 

the functional attendant of homoemorphism

Term

 

 

restriction

Definition
a way to make the domain (of inputs) smaller when mapping to the codomain (range)., this make allow for two sets that were not one-to-one, or surjective to be one-to-one and thus meet the standards of bijectivity necessary to be a continuous function
Term

 

 

{ }

Definition

 

 

empty set

Term

 

 

 


Definition

 

 

function

Term
isomorphism
Definition
equivalent relation (does not mean equal) that is onto, one-to-one, and preserves it's structure
Term
disjoint
Definition
the intersection of two sets is empty
Term
consist
Definition
a set consists of it elements
Term
singleton
Definition
a set contain/consisting of a single element
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