Year: 2025
Type: article
Abstract: The paper continues the investigation of the spaces of complex-valued perfect splines $\Omega_n(m)$. These spaces were introduced as generalization of the spaces $\Omega_n$, the topology of which has been studied by V.I. Ruban, V.A. Koshcheev, A.M. Pasko. In our previous papers the homology groups of the spaces $\Omega_n(m)$ have been found and their simply connectedness was established. The topic of the paper is the homotopy groups $\pi_k(\Omega_n(m)), k=1,...,n$. They have been found using the homology groups of the spaces $\Omega_n(m)$, their simply connectedness and the Hurewicz isomorphism theorem.
Source: Researches in Mathematics
DOI: 10.15421/242519
Author: A.M. Pasko
Institution: Oles Honchar Dnipro National University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $20
OpenAlex ID: W4417326920
FWCI:
Cites:
Cited by:
Related to: