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topological group

   Also found in: Encyclopedia, Wikipedia 0.01 sec.
topological group
n
Maths a group, such as the set of all real numbers, that constitutes a topological space and in which multiplication and inversion are continuous


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00 Hardcover TL521 The 64 papers in this collection explore field theory and polynomials, commutative rings and algebras, matrix theory, associative rings, K-theory, group theory and generalizations, topological groups, Lie groups, and differential geometry.
If G is a topological group as well, then it has a notion of 'closeness' or how near points are.
They begin with real numbers, describing real numbers as an ordered set and explaining the concept of real numbers as a field and as an ordered group and a topological group.
 
 
 
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