# Invariants

### Some articles on invariants, invariant:

Classification Of Manifolds - Main Themes - Enumeration Versus Invariants
... classification explicitly, by an enumeration, or implicitly, in terms of invariants ... of surfaces enumerates them as the connect sum of tori, and an invariant that classifies them is the genus or Euler characteristic ... Manifolds have a rich set of invariants, including Point-set topology Compactness Connectedness Classic algebraic topology Euler characteristic Fundamental group Cohomology ring Geometric topology ...
Complete Set Of Invariants - Realizability of Invariants
... A complete set of invariants does not immediately yield a classification theorem not all combinations of invariants may be realized ...
Link Concordance - Concordance Invariants
... A function of a link that is invariant under concordance is called a concordance invariants ... is one of the most elementary concordance invariants ... The signature of a knot is also a concordance invariant ...
Systolic Freedom
... small volume regardless of their systolic invariants ... That is, systolic invariants or products of systolic invariants do not in general provide universal (i.e ...
Complete Set Of Invariants
... In mathematics, a complete set of invariants for a classification problem is a collection of maps (where X is the collection of objects being ... In words, such that two objects are equivalent if and only if all invariants are equal ... Symbolically, a complete set of invariants is a collection of maps such that is injective ...