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searching for Surjective function 14 found (48 total)

Bidirectional map (234 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Y} of equal cardinality, thus constituting an injective and surjective function: { ∀ x , x ′ ∈ X , f ( x ) = f ( x ′ ) ⇒ x = x ′ ∀ y ∈ Y , ∃ x ∈

Factorization system (867 words) [view diff] exact match in snippet view article find links to article

be shown that every function can be written as the composite of a surjective function followed by an injective function. Factorization systems are a generalization

Final topology (4,320 words) [view diff] exact match in snippet view article find links to article

on a quotient space is a final topology, with respect to a single surjective function, namely the quotient map. The disjoint union topology is the final

Subcountability (3,590 words) [view diff] exact match in snippet view article find links to article

f\colon I\twoheadrightarrow X} denotes that f {\displaystyle f} is a surjective function from a I {\displaystyle I} onto X {\displaystyle X} . The surjection

Pathological (mathematics) (2,386 words) [view diff] exact match in snippet view article

Riemann-integrable. The Peano space-filling curve is a continuous surjective function that maps the unit interval [ 0 , 1 ] {\displaystyle [0,1]} onto

Relation algebra (2,546 words) [view diff] no match in snippet view article find links to article

and only if: Functional R˘ • R ≤ I Left-total I ≤ R • R˘ (R˘ is surjective) Function functional and left-total. Injective R • R˘ ≤ I (R˘ is functional)

Algebraic function field (914 words) [view diff] exact match in snippet view article find links to article

ideal is called a place of K/k. A discrete valuation of K/k is a surjective function v : K → Z∪{∞} such that v(x) = ∞ iff x = 0, v(xy) = v(x) + v(y) and

Ordered exponential field (799 words) [view diff] exact match in snippet view article find links to article

{\displaystyle K\,} is exponentially closed if and only if there is a surjective function E 2 : K → K + {\textstyle E_{2}\colon K\rightarrow K^{+}} such that

Topological space (4,044 words) [view diff] exact match in snippet view article find links to article

{\displaystyle Y} is a set, and if f : X → Y {\displaystyle f:X\to Y} is a surjective function, then the quotient topology on Y {\displaystyle Y} is the collection

Diffeology (4,874 words) [view diff] exact match in snippet view article find links to article

classes of morphisms between diffeological spaces. A subduction is a surjective function f : X → Y {\displaystyle f:X\to Y} between diffeological spaces such

General topology (5,740 words) [view diff] exact match in snippet view article find links to article

if X is a topological space and Y is a set, and if f : X→ Y is a surjective function, then the quotient topology on Y is the collection of subsets of

Glossary of general topology (7,693 words) [view diff] exact match in snippet view article find links to article

Quotient space If X is a space, Y is a set, and f : X → Y is any surjective function, then the Quotient topology on Y induced by f is the finest topology

Polyadic space (3,619 words) [view diff] exact match in snippet view article find links to article

cardinal number λ {\displaystyle \lambda } , there exists a continuous surjective function f : ω X λ → P {\displaystyle f:\omega X^{\lambda }\rightarrow P}

Glossary of category theory (11,460 words) [view diff] exact match in snippet view article find links to article

has a left inverse. For example, the axiom of choice says that any surjective function admits a section. Segal 1. Segal condition. For now, see https://ncatlab