Difference between revisions of "Category:Definitions"

A

• ► Abstract Algebra Definitions‎ (4 C, 117 P)
• ► Algebraic Topology Definitions‎ (67 P)
• ► Analysis Definitions‎ (71 P)

C

• ► Combinatorics Definitions‎ (11 P)

D

• ► Differentiation Definitions‎ (6 P)

E

• ► Elementary Probability Definitions‎ (20 P)
• ► Elementary Set Theory Definitions‎ (62 P)

F

• ► Formal Languages Definitions‎ (10 P)

F cont.

• ► Formal Logic Definitions‎ (30 P)
• ► Functional Analysis Definitions‎ (93 P)

G

• ► Group Theory Definitions‎ (20 P)

H

• ► Homotopy Theory Definitions‎ (51 P)

L

• ► Linear Algebra Definitions‎ (68 P)

M

• ► Measure Theory Definitions‎ (108 P)
• ► Metric Space Definitions‎ (110 P)
• ► Module Theory Definitions‎ (16 P)

N

• ► Number Theory Definitions‎ (11 P)

O

• ► Order Theory Definitions‎ (18 P)

P

• ► Probability Definitions‎ (24 P)

R

• ► Ring Theory Definitions‎ (17 P)

S

• ► Set Theory Definitions‎ (147 P)
• ► Smooth Manifolds Definitions‎ (11 P)

T

• ► Topological Manifolds Definitions‎ (16 P)
• ► Topology Definitions‎ (270 P)

D

• Disjoint
• Disjoint in
• Disjoint in a set
• Disjoint union
• Disjoint union (set)
• Disjoint union (topology)
• Disjoint union space (topology)
• Disjoint union topological space
• Disjoint union topology
• Distance from a point to a set
• Division algorithm
• Divisor
• Domain (FOL)
• Dual vector space
• Dynkin system
• Dynkin system generated by
• Dynkin system/Definition 1
• Dynkin system/Definition 2
• Dynkin systems

E

• Empty set
• Empty-set
• Emptyset
• End point preserving homotopic
• End-point-preseriving homotopic
• End-point-preserving homotopic paths
• Epic
• Epigraph
• Equivalence class
• Equivalence classes
• Equivalence of Cauchy sequences
• Equivalence of Cauchy sequences/Definition
• Equivalence relation
• Equivalence relation induced by a function
• Equivalence relations
• Equivalent formulas
• Euclidean algorithm
• Euclidean distance
• Euclidean metric
• Euclidean n-space
• Euclidean norm
• Even covering (topology)
• Evenly covered (topology)
• Evenly covered by a continuous map
• Evenly covers (topology)
• Every bijection yields an inverse function
• Every injection yields a bijection onto its image
• Exists functor
• Expectation
• Expected value
• Exponential distribution
• Exponential distribution/Definition
• Extended real value
• Extended real valued
• Extended real values
• Extension
• External direct sum
• External direct sum module
• External direct sum of modules

F

• Fibre
• Fibre (map)
• Field
• Final (category theory)
• Finer topology
• Finite complement topology
• Finitely additive set function
• First homotopy group
• First order language

F cont.

• Floor (function)
• Floor function
• FOL
• Formal linear combination
• Formal linear combination/Definition
• Formula (FOL)
• Formulas (FOL)
• Free monoid generated by
• Free semigroup generated by
• Free variables (FOL)
• Free vector space generated by
• Fréchet derivative
• Function
• Function terminology
• Functions
• Functor
• Fundamental group homomorphism induced by a continuous map
• Fundamental groups

G

• Gateaux derivative
• Generated subgroup
• Generator
• Generator (sigma-algebra)
• Geometric distribution/Infobox
• Geometric independence
• Geometric progression
• Geometric sequence
• Geometric series
• Geometrically independent
• Geometrically independent set
• Germ
• Graph
• Graph (topological manifold)
• Greater than or equal to
• Greatest common divisor
• Group
• Group action
• Group homomorphism
• Group/New page
• Groups

H

• Hausdorff
• Hausdorff space
• Herbrand domain
• Hereditary
• Hereditary (measure theory)
• Hereditary class of sets
• Hereditary set
• Hereditary set system
• Hereditary sigma-ring
• Hereditary sigma-ring generated by
• Hereditary system
• Hereditary system generated by
• Hereditary system of sets
• Hilbert space
• Hintikka set
• Homeomorphic
• Homeomorphic topological spaces have isomorphic fundamental groups
• Homeomorphism
• Homeomorphism (topology)
• Homomorphism
• Homomorphism (group)
• Homomorphism (module)
• Homomorphism (topology)
• Homomorphism (vector space)
• Homotopic
• Homotopic maps
• Homotopic paths
• Homotopy

H cont.

• Homotopy class
• Homotopy concatenation
• Homotopy equivalence
• Homotopy equivalent topological space
• Homotopy equivalent topological spaces
• HomotopyPage
• How many combinations

I

• I.i.d (statistics)
• Identity map
• Image of a compact set is compact
• Implies
• Implies-subset relation
• Index of common sigma-algebras
• Indicator function
• Indiscrete topology
• Inductive set
• Infimum
• Initial (category theory)
• Initial and final compared (category theory)
• Injection
• Injective
• Inner product
• Inner product space
• Inner-product space
• Integer division
• Integers
• Integral
• Integral (measure theory)
• Integral domain
• Integral of a positive function (measure theory)
• Integral of a positive function (measure theory)/Definition
• Integral of a simple function (measure theory)
• Integral of a simple function (measure theory)/Definition
• Interior
• Interior (topology)
• Interior point (topology)
• Interpretation (FOL)
• Invariant of an equivalence relation
• Invariant under
• Isometry
• Isomorphic (group)
• Isomorphism
• Isomorphism (category theory)
• Isomorphism (group)
• Isomorphism (module)

J

• Jacobian

K

• Kernel
• Klein-4 group
• Kronecker delta

L

• Notes:Lambda calculus
• Larger topology
• Lebesgue measure
• Lebesgue number
• Leibniz rule
• Lifting of a continuous map through a covering map
• Liminf (sequence of sets)
• Limit
• Limit (sequence)
• Limit of increasing sequence of sets
• Limit point
• Limsup (sequence of sets)
• Limsup and liminf
• Limsup and liminf (sequence of sets)
• Line
• Linear combination
• Linear functional