A degree for a class of acyclic-valued vector fields in Banach spaces

M. Furi; M. Martelli

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1974)

  • Volume: 1, Issue: 3-4, page 301-310
  • ISSN: 0391-173X

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Furi, M., and Martelli, M.. "A degree for a class of acyclic-valued vector fields in Banach spaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 1.3-4 (1974): 301-310. <http://eudml.org/doc/83680>.

@article{Furi1974,
author = {Furi, M., Martelli, M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3-4},
pages = {301-310},
publisher = {Scuola normale superiore},
title = {A degree for a class of acyclic-valued vector fields in Banach spaces},
url = {http://eudml.org/doc/83680},
volume = {1},
year = {1974},
}

TY - JOUR
AU - Furi, M.
AU - Martelli, M.
TI - A degree for a class of acyclic-valued vector fields in Banach spaces
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1974
PB - Scuola normale superiore
VL - 1
IS - 3-4
SP - 301
EP - 310
LA - eng
UR - http://eudml.org/doc/83680
ER -

References

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  6. [6] S. Eilenberg - N. Steenrod, Foundations of Algebraic Topology, Princeton Un. Press, Princeton, N. J., 1952. Zbl0047.41402MR50886
  7. [7] A. Granas, Sur la notion du degrée topologique pour une certaine classe de trans formations multivalents dans les espaces de Banach, Bull. Acad. Pol. Sci., 7, no. 4 (1959), pp. 191-194. Zbl0087.32303MR108743
  8. [8] A. Granas, The theory of compact vector fields and some of its applications to topology of functional spaces Rozprawy Matematyczne, XXX, Warszawa (1962). Zbl0111.11001
  9. [9] A. Granas - J.W. Jaworowski, Some theorems on multivalued nappings of subsets of the Euclidean space, Bull. Acad. Pol. Sci., 7, no. 5 (1959), pp. 277-283. Zbl0089.17902MR120627
  10. [10] S.T. Hu, Theory of Retracts, Wayne, 1965. Zbl0145.43003MR181977
  11. [11] J.W. Jaworowski, On antipodal sets on the sphere and on continuous involutions, Fund. Math., 43 (1956), pp. 241-254. Zbl0072.18501MR82663
  12. [12] E. Rothe, Theorie der topologischen Ordnung und der Vectorfeldern in Banachschen Räumen, Comp. Math., 5 (1937), pp. 177-197. Zbl0018.13304JFM63.0350.01
  13. [13] S.A. Williams, An index for set-valued maps in infinite dimensional spaces, Proc. Am. Math. Soc., 31, no. 2 (1972), pp. 557-563. Zbl0234.55013MR287535

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