Open AccessThe homology groups of the space $\Omega_n(m)$
Author(s) -
A.M. Pas'ko
Publication year - 2019
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241904
Subject(s) - omega , homology (biology) , mathematics , homotopy , space (punctuation) , pure mathematics , combinatorics , physics , chemistry , amino acid , computer science , quantum mechanics , biochemistry , operating system
The spaces $\Omega_n(m)$ that generalize the spaces $\Omega_n$ are introduced. In order to investigate the homotopy invariants of the space $\Omega_n(m)$ the CW-structure of the space $\Omega_n(m)$ is built. Using exact homology sequence the homology groups of the space $\Omega_n(m)$ are calculated.