# Shared Flashcard Set

## Details

Topology
N/A
25
Mathematics
08/21/2009

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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