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Fundam. Prikl. Mat., 2019, Volume 22, Issue 6, Pages 19–84 (Mi fpm1853)  

Shape theory

P. S. Gevorgyan

Moscow State Pedagogical University

Abstract: Shape theory was founded by K. Borsuk 50 years ago. It is essentially a spectral homotopy theory and occupies an important place in geometric topology. This paper presents the basic concepts and the most important, in our opinion, results of shape theory. Unfortunately, due to space limitation, it is not possible to cover many other interesting problems and results related to this theory. For a more detailed and systematic study of the issues considered in the review, we provide an extensive list of references at the end.

Full text: PDF file (525 kB)
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UDC: 515.12+515.14

Citation: P. S. Gevorgyan, “Shape theory”, Fundam. Prikl. Mat., 22:6 (2019), 19–84

Citation in format AMSBIB
\Bibitem{Gev19}
\by P.~S.~Gevorgyan
\paper Shape theory
\jour Fundam. Prikl. Mat.
\yr 2019
\vol 22
\issue 6
\pages 19--84
\mathnet{http://mi.mathnet.ru/fpm1853}


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  • http://mi.mathnet.ru/eng/fpm1853
  • http://mi.mathnet.ru/eng/fpm/v22/i6/p19

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  • Фундаментальная и прикладная математика
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