In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle...

calculus Tensor product Product topology Cap product Cup product Slant product Smash product Wedge sum (or wedge product) Internal product, in a monoidal...

in 1923 by H. B. Reese in Hershey, Pennsylvania. The official product name was "Penny Cups" because they could be purchased for one cent. Reese had originally...

{\mathcal {P}}({\mathcal {P}}(A\cup B))} where P {\displaystyle {\mathcal {P}}} denotes the power set. Then the Cartesian product of the sets A {\displaystyle...

owned by Diageo since 1997. Its most popular product is Pimm's No. 1 Cup, commonly used for the Pimm's cup cocktail. Pimm's is dark brown with a reddish...

function F ∘ f on X. The most important cohomology theories have a product, the cup product, which gives them a ring structure. Because of this feature, cohomology...

Single servings of the product are packaged in foam, plastic, or paper cups and are prepared by adding boiling water. The brand name Cup Noodle is also a registered...

X is a ring formed from the cohomology groups of X together with the cup product serving as the ring multiplication. Here 'cohomology' is usually understood...

with the interpretation of the cup product in terms of the Künneth formula, we can explain the existence of the cap product in the following way. Using CW...

well. While the cup product of ordinary cohomology describes how submanifolds of the manifold intersect each other, the quantum cup product of quantum cohomology...

curve C, then their wedge product is necessarily zero because C has only one complex dimension; consequently, the cup product of their cohomology classes...

the Massey product is a cohomology operation of higher order introduced in (Massey 1958), which generalizes the cup product. The Massey product was created...

algebra: the algebraic structure arising on the cochain level for the cup product Poincaré duality: swaps some of these Intersection theory: for a similar...

company Keurig Dr Pepper manufactures the machines. The main Keurig products are K-Cup pods, which are single-serve coffee containers; other beverage pods;...

\beta } where ∧ {\displaystyle \wedge } is the wedge product. The definition using cup product has a simpler analogue modulo 2 (which works for non-orientable...

Frito-Lay Press Release Archive. ""Tapatío Ramen" Instant Ramen Noodle Cup Product Featuring Tapatío Hot Sauce, Begins Initial West Coast Release of...

rings the product of ideals the product of topological spaces the Wick product of random variables the cap, cup, Massey and slant product in algebraic...

In mathematics, specifically group theory, the free product is an operation that takes two groups G and H and constructs a new group G ∗ H. The result...

consistency and shape led to the Clark Cup product, with misshaped bars ground and mixed with peanut butter for use as cup filling. The Clark Bar was relaunched...

The cup product of two cocycles is again a cocycle, and the product of a coboundary with a cocycle (in either order) is a coboundary. The cup product operation...

In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative...

Look up cup, CUP, Cup, ćup, cúp, cups, or CUPS in Wiktionary, the free dictionary. A cup is an open-top container used to hold liquids for pouring or drinking...

L\rightarrow 0\in \operatorname {Ext} ^{m}(L,M),} we form the Yoneda (cup) product ξ ⌣ ρ : 0 → N → E 0 → ⋯ → E n − 1 → F 0 → ⋯ → F m − 1 → L → 0 ∈ Ext m...

product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product....

Cup Noodles is a brand of cup instant ramen developed in 1971 and manufactured by the Japanese food company Nissin Foods. The product was first introduced...

In mathematics, the star product is a method of combining graded posets with unique minimal and maximal elements, preserving the property that the posets...

tampons, pantyliners, menstrual cups, menstrual sponges and period panties. Feminine hygiene products also include products meant to cleanse the vulva or...

isomorphic (as graded rings), where the analogous product on singular cohomology is the cup product. For any smooth manifold M, let R _ {\textstyle {\underline...

product on homology classes of any dimension, which is Poincaré dual to the cup product on cohomology. Like the cup product, the intersection product...

theorem. Given a connected and oriented manifold M of dimension 4k, the cup product gives rise to a quadratic form Q on the 'middle' real cohomology group...