Isomorphism
Isomorphism is a very general concept which appears in several areas of mathematics. Formally, an isomorphism isBijective Morphism. Informally, an isomorphism is a map which preserves sets and relations amongelements.
A space isomorphism is a Vector Space in which addition and scalar multiplication are preserved. An isomorphism ofa Topological Space is called a Homeomorphism.
Two groups 
and 
with binary operators 
and 
are isomorphic if there exists a map 
which satisfies
An isomorphism preserves the identities and inverses of a Group. A Group which is isomorphic to itself is called anAutomorphism.See also Automorphism, Ax-Kochen Isomorphism Theorem, Homeomorphism, Morphism
- Shafarevich Conjecture
- Shah Function
- Shah-Wilson Constant
- Shallit Constant
- Shallow Diagonal
- Shanks' Algorithm
- Shanks' Conjecture
- Shannon Entropy
- Shannon Sampling Theorem
- Shape Operator
- Shapiro's Cyclic Sum Constant
- Sharing Problem
- Sharkovsky's Theorem
- Sharpe Ratio
- Sharpe's Differential Equation
- Sheaf (Geometry)
- Sheaf (Topology)
- Shear
- Shear Matrix
- Shephard's Problem
- Sheppard's Correction
- Sherman-Morrison Formula
- Shi
- Shift
- Shift Property