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Cockaigne began it’s operations in Cherry Creek, NY in the winter of 1966. The famous ski lodge was built as the Austrian Pavilion for the World’s fair in New York City in 1964 and then moved to Cockaigne in 1966. Cockaigne was the best place for family fun and winter events for over four decades up until the lodge was destroyed in a fire ... CoChain . login

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encyclopediaofmath.org

https://encyclopediaofmath.org/wiki/Cochain

Feb 10, 2014 . [HS] P.J. Hilton, S. Wylie, "Homology theory. An introduction to algebraic topology" , Cambridge Univ. Press (1960) [ML] S. MacLane, "Homology" , Springer (1963) login

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sciencedirect.com

https://www.sciencedirect.com/topics/mathematics/cochain

A cochain in Ck ( X, Z 2) is a mapping f: Ck ( X, Z 2) → Z 2 such that the image of a finite formal sum is. f(∑g iσ i) = ∏f(σ i)gi, gi = ± 1. With this definition the space of k -cochains Ck ( X, Z 2) is an abelian group like Ck ( X, G ), G = ℝ or Z, but its operation will be denoted multiplicatively. coboundary operator. login

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sciencedirect.com

https://www.sciencedirect.com/topics/mathematics/cochain-complex

The contact sequence is an exact soft resolution of C 1 Ω r 1, hence the cohomology of the associated cochain complex of sections on any open subset of J r π vanishes. The above theorem is proved in [70] by first proving the local exactness of the contact sequence and then using standard results from sheaf theory (for which an adequate source ... login

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wikipedia.org

https://en.wikipedia.org/wiki/Chain_complex

The cochain complex (,) is the dual notion to a chain complex. It consists of a sequence of abelian groups or modules ..., A 0, A 1, A 2, A 3, A 4, ... connected by homomorphisms d n : A n → A n+1 satisfying d n+1 ∘ d n = 0. The cochain complex may be written out in a similar fashion to the chain complex. login

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biorxiv.org

https://www.biorxiv.org/content/10.1101/2020.04.14.040451v1

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researchgate.net

https://www.researchgate.net/publication/237124516_Cochain_operations_and_subspace_arrangements

For example, the cup product on cohomology is essentially determined at the cochain level by the morphism AW and the diagonal map. All of this fits well with the results of Kristensen [13,14 ...

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nih.gov

https://pubmed.ncbi.nlm.nih.gov/34897380/

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ahajournals.org

https://www.ahajournals.org/doi/abs/10.1161/circresaha.117.312509

Jun 08, 2018 . Cochain C, Saliba A and Zernecke A (2018) Letter by Cochain et al Regarding Article, “Transcriptome Analysis Reveals Nonfoamy Rather Than Foamy Plaque Macrophages Are Proinflammatory in Atherosclerotic Murine Models”, Circulation Research, 123:11, (e48-e49), Online publication date: 9-Nov-2018.

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thefreedictionary.com

https://encyclopedia2.thefreedictionary.com/Cochain

In a 2-D or 3-D simplicial mesh, if there are [N.sub.1] edges in total, 1- cochain E can be defined as: Electromagnetic Theory with Discrete Exterior Calculus. If an N-graded ring also is a cochain complex, we come to the following notion [5,17]. Differential Calculus on N-Graded Manifolds. login

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cocha.com

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