Faster access than browser!Similarities between Cohomology and Universal coefficient theorem
Cohomology and Universal coefficient theorem have 21 things in common (in Unionpedia): Abelian group, Algebraic topology, Chain complex, Cohomology ring, Connected space, Eilenberg–MacLane space, Exact sequence, Ext functor, Field (mathematics), Free abelian group, Functor, Homological algebra, Homology (mathematics), Manifold, Orientability, Poincaré duality, Real projective space, Simplicial homology, Singular homology, Topological space, Tor functor.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
Abelian group and Cohomology · Abelian group and Universal coefficient theorem ·
Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
Algebraic topology and Cohomology · Algebraic topology and Universal coefficient theorem ·
Chain complex
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between consecutive groups such that the image of each homomorphism is included in the kernel of the next.
Chain complex and Cohomology · Chain complex and Universal coefficient theorem ·
Cohomology ring
In mathematics, specifically algebraic topology, the cohomology ring of a topological space X is a ring formed from the cohomology groups of X together with the cup product serving as the ring multiplication.
Cohomology and Cohomology ring · Cohomology ring and Universal coefficient theorem ·
Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.
Cohomology and Connected space · Connected space and Universal coefficient theorem ·
Eilenberg–MacLane space
In mathematics, and algebraic topology in particular, an Eilenberg–MacLane spaceSaunders Mac Lane originally spelt his name "MacLane" (without a space), and co-published the papers establishing the notion of Eilenberg–MacLane spaces under this name.
Cohomology and Eilenberg–MacLane space · Eilenberg–MacLane space and Universal coefficient theorem ·
Exact sequence
An exact sequence is a concept in mathematics, especially in group theory, ring and module theory, homological algebra, as well as in differential geometry.
Cohomology and Exact sequence · Exact sequence and Universal coefficient theorem ·
Ext functor
In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.
Cohomology and Ext functor · Ext functor and Universal coefficient theorem ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Cohomology and Field (mathematics) · Field (mathematics) and Universal coefficient theorem ·
Free abelian group
In abstract algebra, a free abelian group or free Z-module is an abelian group with a basis.
Cohomology and Free abelian group · Free abelian group and Universal coefficient theorem ·
Functor
In mathematics, a functor is a map between categories.
Cohomology and Functor · Functor and Universal coefficient theorem ·
Homological algebra
Homological algebra is the branch of mathematics that studies homology in a general algebraic setting.
Cohomology and Homological algebra · Homological algebra and Universal coefficient theorem ·
Homology (mathematics)
In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.
Cohomology and Homology (mathematics) · Homology (mathematics) and Universal coefficient theorem ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Cohomology and Manifold · Manifold and Universal coefficient theorem ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
Cohomology and Orientability · Orientability and Universal coefficient theorem ·
Poincaré duality
In mathematics, the Poincaré duality theorem, named after Henri Poincaré, is a basic result on the structure of the homology and cohomology groups of manifolds.
Cohomology and Poincaré duality · Poincaré duality and Universal coefficient theorem ·
Real projective space
In mathematics, real projective space, or RPn or \mathbb_n(\mathbb), is the topological space of lines passing through the origin 0 in Rn+1.
Cohomology and Real projective space · Real projective space and Universal coefficient theorem ·
Simplicial homology
In algebraic topology, simplicial homology formalizes the idea of the number of holes of a given dimension in a simplicial complex.
Cohomology and Simplicial homology · Simplicial homology and Universal coefficient theorem ·
Singular homology
In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of algebraic invariants of a topological space X, the so-called homology groups H_n(X).
Cohomology and Singular homology · Singular homology and Universal coefficient theorem ·
Topological space
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods.
Cohomology and Topological space · Topological space and Universal coefficient theorem ·
Tor functor
In homological algebra, the Tor functors are the derived functors of the tensor product of modules over a ring.
Cohomology and Tor functor · Tor functor and Universal coefficient theorem ·
The list above answers the following questions
- What Cohomology and Universal coefficient theorem have in common
- What are the similarities between Cohomology and Universal coefficient theorem
Cohomology and Universal coefficient theorem Comparison
Cohomology has 186 relations, while Universal coefficient theorem has 33. As they have in common 21, the Jaccard index is 9.59% = 21 / (186 + 33).
References
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