Skip to main content

Relative topological characteristics of mappings

  • Chapter
  • First Online:
Global Analysis - Studies and Applications IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1453))

  • 356 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Leray J. Sur la form des espaces topologique et sur les points fixes des representations //Journ.Math.Pures et Appl.-1945.-V.2.-p.95–199

    MathSciNet  MATH  Google Scholar 

  2. Leray J. Sur les equations et les transformations //Journ.Math. Pures et Appl.-1945.-V.2.-p.201–248

    MathSciNet  MATH  Google Scholar 

  3. Leray J. Theory des points fixes: indece total et nombre de Lefschetz// Bull.Soc.Math.France.-1959.-V.87.-p.221–233

    MathSciNet  MATH  Google Scholar 

  4. Krasnosel'skii M.A.,Zabreiko P.P. Geometric methods of nonlinear analysis // Nauka,1975(in Russian)

    Google Scholar 

  5. Borisovich Yu.G.,Shpil'berg M.I. On the homomorphisms which generalize the vector field characteristic.// Trudy matem.fak.VGU.-Voronezh, 1974,Vyp.12.-p.3–12 (in Russian)

    Google Scholar 

  6. Borisovich Yu.G.,Gel'man B.D.,Myshkis A.D., Obukhovskii V.V. Topological methods in the fixed point theory of multivalued mappings// Usp.Mat.Nauk.-1980.-V.-35.N3.p.59–126 (in Russian)

    MathSciNet  Google Scholar 

  7. Borisovich Yu.G. On one application of the vector field rotation notion //Dokl.AN SSSR.-1963.-V.153.-NI,p.12–15 (in Russian)

    Google Scholar 

  8. Borisovich Yu.G. On the relative rotation of the compact vector fields in the linear spaces //Trudy sem.po funkts.anal.-Voronezh, 1969,Vyp.12.-p.3–27 (in Russian)

    MathSciNet  MATH  Google Scholar 

  9. Borisovich Yu.G. The relative vector fields rotation and Lefschetz number// Trudy sem.po funkts.anal.-Voronezh,1969,Vyp.12.-p.28–42 (in Russian)

    MATH  Google Scholar 

  10. Borisovich Yu.G. Topology and nonlinear functional analysis // Uspehi Mat.Nauk,-1979.V.34.N6.-p.14–22 (in Russian)

    MathSciNet  MATH  Google Scholar 

  11. Akhmerov R.R.,Kamenskii M.I,Rodkina A.E.,Potapov A.S., Sadovskii B.N. The measure of non-compactness and condensing operators //Novosibirsk:Nauka,1986 (in Russian)

    Google Scholar 

  12. Borisovich Yu.G. The contemporary approach to the topological characteristic of non-linear operators theory.I//Geometriya i teoriya osobennostei v nelineinykh uravneniyakh.-Voronezh,1987, p.24–46 (in Russian; English transl.in Lect.Notes Math.,1987,v.1334)

    Google Scholar 

  13. Bowzyc C. Fixed point theorem for pairs of spaces //Bull.Academ. Polon.Sci.Ser.math.,ast.,phys.-1968.-V.16.-N11.-p.845–850

    Google Scholar 

  14. Krein M.N. The relative Lefschetz number and fixed point theorems //Sb.rabot aspir.VGU,V.2.-Voronezh,1972.-p.42–47 (in Russian)

    Google Scholar 

  15. Shubin M.A. The absolute and relative Lefschetz formulas for the manyfolds with a boundary //Uspehi Mat.Nauk,-1982.-V.37.N4.-p.116 (in Russian).

    MathSciNet  Google Scholar 

  16. Harpe P. Sur la trace des endomorphismes de Leray //C.R.Acad.Sc. Paris.-1976.-V.283.-N9.-p.691–692

    MathSciNet  MATH  Google Scholar 

  17. Spanier E. Algebraic Topology, New York, 1966.

    Google Scholar 

  18. Gel'man B.D. The topological characteristic of multivalued mappings in Banach spaces //Trudy mat.fak.VGU.-Voronezh,1975.Vyp.16.-p.17–23

    MathSciNet  Google Scholar 

  19. Geba K.,Granas A. Infinite dimensional cohomology theories // J. Math.Pures et Appl.-1973.-V.52.-N2.-p.145–270

    MathSciNet  MATH  Google Scholar 

  20. Granas A. On some generalizations of the Leray-Schauder theory// Proceedings of the international conference on geometric topology.Warszawa,1980.-p.163–173

    Google Scholar 

  21. Mukherjea K.K. Coincidence theory for infinite dimensional manifolds//Bull.Amer.Math.Soc.-1968.-V.74.-p.493–496

    Article  MathSciNet  MATH  Google Scholar 

  22. Borisovich Yu.G.,Shpil'berg M.I. The generalized topological characteristic of vector fields // YII Vsesoyuz.topolog.konfer:Tezisy dokl.i soob.-Minsk,1977.-p.27

    Google Scholar 

  23. Borisovich Yu.G.,Shpil'berg M.I. The generalized vector fields topological characteristic /Deposited at VINITI,May 19,1980, No 1920–80

    Google Scholar 

  24. Shpil'berg M.I. On some properties of the generalizes topological characteristic /Deposited at VINITI, May 20,1986,No3665-B

    Google Scholar 

  25. Shpil'berg M.I. The generalized topological characteristic and existence of the periodic and bounded solutions of differential equations /Deposited at VINITI,May 20,1986, No 3666-B

    Google Scholar 

  26. Shpil'berg M.I. On topological characteristics of the mappings and some applications of them. Cand.dissert./Voronezh Univ.-Voronezh,1986 (in Russian)

    Google Scholar 

  27. Reich S.A. Poincare type coincidence theorem // Amer.Math.Month.-1974.-V.81.-N1.-p.52–53

    Article  MathSciNet  MATH  Google Scholar 

  28. Krasnosel'skii M.A.The shift operator on the trajectories of the differential equations // Nauka,1966 (in Russian)

    Google Scholar 

  29. Zelinskii Yu.B The application of the local degree to the quasi-inner mappings studies // Ukr.Mat.Zhurn.-1978,V.30,N3.-p.299–308 (in Russian)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Yurii G. Borisovich Yurii E. Gliklikh A. M. Vershik

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this chapter

Cite this chapter

Borisovich, Y.G., Shpilberg, M.I. (1990). Relative topological characteristics of mappings. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085957

Download citation

  • DOI: https://doi.org/10.1007/BFb0085957

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53407-5

  • Online ISBN: 978-3-540-46861-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics