For two differentiable maps between manifolds of possibly different dimensions, the local and global coincidence homology classes are introduced studied by Bisi-Bracci-Izawa-Suwa (2016) in framework ?ech-de Rham cohomology. We take up problem from combinatorial viewpoint give some finer results, particular for classes. As to class, we clarify relation with cohomology class as Biasi-Libardi-Moni...

We introduce a new approach to determining the structure of topological cyclic homology by means descent spectral sequence. carry out computation for p-adic local field with $${{\mathbb {F}}_p}$$ -coefficients, including case $$p=2$$ which was only covered motivic methods except in totally unramified case.

Paralogous genes are genes which descend from a progenitor gene which has duplicated as an ancestral gene, each copy having diverged prior to speciation. With comprehensive information available on functions of Escherichia coli proteins, analysis of sequence-related E. coli paralogous proteins can give information on the early ancestors of families of proteins now residing in many contemporary ...

A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.