Fundamental groups of spaces of generalized perfect splines
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 159-165
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The fundamental groups $\pi_1(\Omega_n)$ of the spaces $\Omega_n$ of generalized perfect splines are calculated. For $n\ge2$, the groups are trivial; $\pi_1(\Omega_1)$ is a free group with three generators.
Keywords:
generalized perfect splines, fundamental groups.
@article{TIMM_2009_15_1_a12,
author = {V. A. Koshcheev},
title = {Fundamental groups of spaces of generalized perfect splines},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {159--165},
publisher = {mathdoc},
volume = {15},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_1_a12/}
}
V. A. Koshcheev. Fundamental groups of spaces of generalized perfect splines. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 1, pp. 159-165. http://geodesic.mathdoc.fr/item/TIMM_2009_15_1_a12/