Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Klyaeva I. A. Spectral Sequences of Fibre Tolerance Spaces. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 4, pp. 13-18. DOI: 10.18500/1816-9791-2008-8-4-13-18

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
17.11.2008
Full text:
download
(downloads: 172)
Language: 
Russian
Heading: 
Mathematics
UDC: 
513.6
DOI: 
10.18500/1816-9791-2008-8-4-13-18

Spectral Sequences of Fibre Tolerance Spaces

Autors: 
Klyaeva I. A., P. A. Stolypin Volga Region Academy of Public Administration
Abstract: 

The paper presents the theoretical base for the construction of spectral sequences of tolerant exfoliations. Namely, the authors give a number of important qualities of singular cubes in tolerant exfoliations. The fundamental base group operation on the group of fiber homology of tolerant exfoliation theorem is proved. According to the general theory of spectral sequences the first and the second terms of spectral sequence of tolerant exfoliations are got.

Key words: 
tolerant space
tolerant exfoliation
group of homology
spectral sequence
References: 
  1. Zeeman E.S. The topology of brain and visual perception. The Topology of 3-Manifolds. N.Y., 1962.
  2. Небалуев С.И. Гомологическая теория толерантных пространств. Саратов: Изд-во Сарат. ун-та, 2006.
  3. Небалуев С.И.,Кляева И.А. Толерантное расслоение пространства толерантных путей // Исследования по алгебре, теории чисел, функциональному анализу и смежным вопросам. Саратов: Изд-во Сарат. ун-та, 2005. Вып.3. С. 93–106.
  4. Небалуев С.И.,Кляева И.А. Теория пунктированных толерантных кубических сингулярных гомологий // Вестн. Самарск. гос. ун-та. 2007. Вып. 7(57). С. 134– 151.
  5. Ху Сы-цзян. Теория гомотопий. М.: Мир, 1964.
  • 768 reads