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Highly structured ring spectrum and Spectrum (topology)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Highly structured ring spectrum and Spectrum (topology)

Highly structured ring spectrum vs. Spectrum (topology)

In mathematics, a highly structured ring spectrum or A_\infty-ring is an object in homotopy theory encoding a refinement of a multiplicative structure on a cohomology theory. In algebraic topology, a branch of mathematics, a spectrum is an object representing a generalized cohomology theory.

Similarities between Highly structured ring spectrum and Spectrum (topology)

Highly structured ring spectrum and Spectrum (topology) have 8 things in common (in Unionpedia): Cohomology, Monoid, Monoidal category, Simplicial set, Smash product, Stable homotopy theory, Suspension (topology), Symmetric spectrum.

Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

Cohomology and Highly structured ring spectrum · Cohomology and Spectrum (topology) · See more »

Monoid

In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.

Highly structured ring spectrum and Monoid · Monoid and Spectrum (topology) · See more »

Monoidal category

In mathematics, a monoidal category (or tensor category) is a category C equipped with a bifunctor that is associative up to a natural isomorphism, and an object I that is both a left and right identity for ⊗, again up to a natural isomorphism.

Highly structured ring spectrum and Monoidal category · Monoidal category and Spectrum (topology) · See more »

Simplicial set

In mathematics, a simplicial set is an object made up of "simplices" in a specific way.

Highly structured ring spectrum and Simplicial set · Simplicial set and Spectrum (topology) · See more »

Smash product

In mathematics, the smash product of two pointed spaces (i.e. topological spaces with distinguished basepoints) X and Y is the quotient of the product space X × Y under the identifications (x, y0) ∼ (x0, y) for all x ∈ X and y ∈ Y.

Highly structured ring spectrum and Smash product · Smash product and Spectrum (topology) · See more »

Stable homotopy theory

In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.

Highly structured ring spectrum and Stable homotopy theory · Spectrum (topology) and Stable homotopy theory · See more »

Suspension (topology)

In topology, the suspension SX of a topological space X is the quotient space: of the product of X with the unit interval I.

Highly structured ring spectrum and Suspension (topology) · Spectrum (topology) and Suspension (topology) · See more »

Symmetric spectrum

In algebraic topology, a symmetric spectrum X is a spectrum of pointed simplicial sets that comes with an action of the symmetric group \Sigma_n on X_n such that the composition of structure maps is equivariant with respect to \Sigma_p \times \Sigma_n.

Highly structured ring spectrum and Symmetric spectrum · Spectrum (topology) and Symmetric spectrum · See more »

The list above answers the following questions

Highly structured ring spectrum and Spectrum (topology) Comparison

Highly structured ring spectrum has 35 relations, while Spectrum (topology) has 43. As they have in common 8, the Jaccard index is 10.26% = 8 / (35 + 43).

References

This article shows the relationship between Highly structured ring spectrum and Spectrum (topology). To access each article from which the information was extracted, please visit:

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