On homotopic groups of spaces of generalised perfect splines

A.M. Pas'ko (Oles Honchar Dnipropetrovsk National University)

Abstract


The homotopy groups $$${\pi}_k$$$ of $$${\Omega}_n$$$ spaces for $$$k=2,...,n$$$ are found.

Keywords


homotopy groups; generalized perfect splines

References


Koshcheev V.A. "Fundamental groups of spaces of generalised perfect splines", Tr. In-ta matematiki i mekhaniki UrO RAN, 2009; 15(1): pp. 159-165. (in Russian) doi:10.1134/S0081543809060121

Prasolov V.V. Elements of homology theory, Moscow, 2006; 448 p. (in Russian)

Ruban V.I. "Cellular partitioning of spaces of $$$\Omega$$$-splines", Researches on modern problems of summation and approximation of functions and their applications, Dnipropetrovsk, 1985; pp. 39-40. (in Russian)

Ruban V.I. "Cellular structure and cohomologies of spaces of generalised perfect splines", Res. Math., 1999; 4: pp. 85-90. (in Russian)

Fomenko A.T., Fuks D.B. Course in homotopic topology, Moscow, 1989; 494 p. (in Russian)




DOI: https://doi.org/10.15421/241217

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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