# The variety of chain complexes

## Related Articles

- SAYD Modules over Lie-Hopf Algebras. Rangipour, Bahram; Sütlü, Serkan // Communications in Mathematical Physics;Nov2012, Vol. 316 Issue 1, p199
In this paper a general van Est type isomorphism is proved. The isomorphism is between the Lie algebra cohomology of a bicrossed sum Lie algebra and the Hopf cyclic cohomology of its Hopf algebra. We first prove a one to one correspondence between stable-anti-Yetter-Drinfeld (SAYD) modules over...

- INFINITELY-MANY-SPECIES LOTKA-VOLTERRA EQUATIONS ARISING FROM SYSTEMS OF COALESCING MASSES. EVANS, STEVEN N. // Journal of the London Mathematical Society;08/01/1999, Vol. 60 Issue 1, p171
The paper considers nonlinear, probability measure-valued dynamical systems that generalise those classical Lotka-Volterra equations in which, to use ecological terminology, the total size of a finite number of populations of interacting species is conserved. In this generalisation there is a...

- Quivers, Quasi-Quantum Groups and Finite Tensor Categories. Huang, Hua-Lin; Liu, Gongxiang; Ye, Yu // Communications in Mathematical Physics;Apr2011, Vol. 303 Issue 3, p595
We study finite quasi-quantum groups in their quiver setting developed recently by the first author. We obtain a classification of finite-dimensional pointed Majid algebras of finite corepresentation type, or equivalently a classification of elementary quasi-Hopf algebras of finite...

- Related Fixed Point Theorem for Six Mappings on Three Fuzzy Metric Spaces. Sharma, Sushil; Tilwankar, Prashant // Kyungpook Mathematical Journal;Dec2011, Vol. 51 Issue 4, p365
Related fixed point theorems on two or three metric spaces have been proved in different ways. However, so for the related fixed point theorem on fuzzy metric spaces have not been proved. Sharma, Deshpande and Thakur were the first who have established related fixed point theorem for four...

- Constructive Proof of Brouwer's Fixed Point Theorem for Sequentially Locally Non-constant and Uniformly Sequentially Continuous Functions. Tanaka, Yasuhito // International Journal of Applied Mathematics;2012, Vol. 42 Issue 1, p1
We present a constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions based on the existence of approximate fixed points. And we will show that our Brouwer's fixed point theorem implies Sperner's lemma for a...

- On Common Fixed Points for Contractive Type Mappings in Cone Metric Space. Saluja, A. S.; Magarde, Devkrishna; Dhakde, Alkesh Kumar // Advances in Theoretical & Applied Mathematics;2012, Vol. 7 Issue 2, p165
The object of this paper is to prove a common unique fixed point theorem in complete cone metric spaces using contractive type condition.

- Strong and Weak Convergence of the Modified Proximal Point Algorithms in Hilbert Space. Xinkuan Chai; Bo Li; Yisheng Song // Fixed Point Theory & Applications;2010, Special section p1
No abstract available.

- Suzuki-Type Fixed Point Results in Metric-Like Spaces. Shobkolaei, Nabiollah; Sedghi, Shaban; Roshan, Jamal Rezaei; Hussain, Nawab // Journal of Function Spaces & Applications;2013, p1
We demonstrate a fundamental lemma for the convergence of sequences in metric-like spaces, and by using it we prove some Suzuki-type fixed point results in the setup of metric-like spaces. As an immediate consequence of our results we obtain certain recent results in partialmetric spaces as...

- A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem. Romaguera, Salvador; Tirado, Pedro // Fixed Point Theory & Applications;10/7/2015, Vol. 2015 Issue 1, p1
We obtain a quasi-metric generalization of Caristi's fixed point theorem for a kind of complete quasi-metric spaces. With the help of a suitable modification of its proof, we deduce a characterization of Smyth complete quasi-metric spaces which provides a quasi-metric generalization of the...