CONSTRUCTION OF SIMPLICIAL DEGENERACY ANALOG IN А_∞-CASE

Ladoshkin Mikhail Vladimirovich, Candidate of physical and mathematical sciences, associate professor, head of sub-department of mathematics, Mordovia State Pedagogical Institute named after M. E. Evsevyev (Saransk), michldosh@gmail.com

512.662.1

The article considers the construction of A_∞-case simplicial degeneracy analogue. The author presents a design of higher facets, proves their existence on the homology, and addresses the effect of the differential on this site. As the proof of the existence theorem is constructive, it allows to construct new objects on the homology of chain complexes. While proving the theorems the author used the technique of SDR-situations.

simplicial object, homology. homotopy stable, SDR-situation, high degenerations.