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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 159–165 (Mi timm212)  
Fundamental groups of spaces of generalized perfect splines

V. A. Koshcheev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: 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.
Received: 29.10.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 265, Issue 1, Pages S155–S161
DOI: https://doi.org/10.1134/S0081543809060121
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. A. Koshcheev, “Fundamental groups of spaces of generalized perfect splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 159–165; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S155–S161
Citation in format AMSBIB
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\by V.~A.~Koshcheev
\paper Fundamental groups of spaces of generalized perfect splines
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 1
\pages 159--165
\mathnet{http://mi.mathnet.ru/timm212}
\elib{https://elibrary.ru/item.asp?id=11929785}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 265
\issue , suppl. 1
\pages S155--S161
\crossref{https://doi.org/10.1134/S0081543809060121}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268192700012}
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