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
- Brachistochrone Problem
- Bracket
- Bracketing
- Bracket Polynomial
- Bracket Product
- Bradley's Theorem
- Brahmagupta Identity
- Brahmagupta Matrix
- Brahmagupta Polynomial
- Brahmagupta's Formula
- Brahmagupta's Problem
- Braid
- Braid Group
- Braid Index
- Braid Word
- Braikenridge-Maclaurin Construction
- Branch
- Branch Cut
- Branch Line
- Branch Point
- Brauer Chain
- Brauer Group
- Brauer Number
- Brauer-Severi Variety
- Brauer's Theorem