Open AccessHomology groups of $\mathbb{C}{\Omega}_n$ space for certain dimensionalities
Author(s) -
A.M. Pas'ko
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241612
Subject(s) - omega , homology (biology) , mathematics , combinatorics , space (punctuation) , pure mathematics , physics , biology , genetics , computer science , amino acid , quantum mechanics , operating system
We calculate the homology groups $H_k(\mathbb{C}{\Omega}_n)$, $k = 0,1,2,2n-1,2n,2n+1$. We establish that the $\mathbb{C}{\Omega}_n$ space has a zero Euler characteristic.