Enabling American Sign Language to grow in Science,
Technology, Engineering, and Mathematics (STEM)
Affinely Independent
Ascoli's Theorem
Baire Category Theorem
Baire Space
Basis
Bounded (Set)
Box Topology
Cartesian Product
Cauchy Integral Formula
Cauchy Sequence
Closed Map
Closed Set
Closure
Coarser
Compact Open Topology
Compact Set
Compactification
Compactly Generated
Comparable
Complete
Completely Normal
Completely Regular
Completion
Components
Connectedness
Continuous
Convex
Countably Locally Finite
Coutably Locally Discrete
Covering
Dense
Diameter
Diffeomorphism
Directed Set
Discrete Topology
Empty Interior
Equicontinuity
Euclidean Metric
Evaluation Map
Extreme Value Theorem
Finer
Fininite Intersection Property
Finite Dimensional
First Countability Axiom
First Countable
Fundamental Thm Of Algebra
General Position
Geometrically Independent
Hairy Ball Theorem
Half Space
Hausdorff Space
Homeomorphism
Imbedding
Imbedding Theorem
Indiscrete (Trivial) Topology
Interior
Intermediate Value Theorem
Interval
Inverse Image
Isolated Point
K Topology
Lebesgue Number
Lebesgue Number Lemma
Limit Point
Limit Point Compactness
Lindelof Space
Linear Continuum
Local Compactness
Local Connectedness
Local Path Connectedness
Locally Discrete
Locally Finite
Locally Finite Indexed Family
Locally M Euclidean
Locally Metrizable
Lower Limit Topology
M Manifold
Metric
Metric Space
Metric Topology
Metrizable
Nagata Smirnov Metrization Thm
Neighborhood
Norm
Normal
North Pole
One Point Compactification
Open Map
Open Set
Order
Order Topology
Paracompact
Partition Of Unity
Path
Path Components
Path Connected
Peano Space
Point Open Topology
Pointwise Boundedness
Preimage
Product Space
Product Topology
Projection
Punctured Euclidean Space
Quoitent Space
Quoitent Topology
Quotient Map
Ray
Ray
Refinement
Regular
Retraction
Saturated
Second Countability Axiom
Second Countable
Separable
Separation
Sequentially Compact
Smirnov Metrization Theorem
Sorgenfrey Plane
Square Metric
Standard Bounded Metric
Subbasis
Subsequence
Subspace
Subspace Topology
Sup Metric
Support
T1 Axiom
The Pasting Lemma
The Sequence Lemma
The Tube Lemma
Tietze Extension T Heorem
Topological Dimension
Topological Group
Topological Space
Topologically Complete
Topology (On A Set)
Topology Of Compact Convergence
Total Boundedness
Totally Disconnected
Tube
Tuple
Tychonoff Theorem
Uniform Continuity
Uniform Continuity Theorem
Uniform Convergence
Uniform Limit Theorem
Uniform Metric
Uniform Topology
Unit 2 Sphere
Unit Ball (B^N)
Unit Circle
Unit Sphere
Urysohn Lemma
Urysohn Metrization Theorem
... >> Mathematics >> Field Of Topology >> Open Map
Nobody has posted a sign yet.
Definition: A map f: X -> Y is said to be an open map if for each open set U of X, the set f(U) is open in Y.
Source: Topology (second edition) by James R. Munkres
Listed under: Field Of Topology, Mathematical Analysis