On the Lefschetz fixed point theorem for multivalued weighted mappings

Robert Skiba

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2001)

  • Volume: 40, Issue: 1, page 201-214
  • ISSN: 0231-9721

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Skiba, Robert. "On the Lefschetz fixed point theorem for multivalued weighted mappings." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 40.1 (2001): 201-214. <http://eudml.org/doc/23711>.

@article{Skiba2001,
author = {Skiba, Robert},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {fixed points; weighted mappings; Darbo homology; Lefschetz number; ANR-spaces},
language = {eng},
number = {1},
pages = {201-214},
publisher = {Palacký University Olomouc},
title = {On the Lefschetz fixed point theorem for multivalued weighted mappings},
url = {http://eudml.org/doc/23711},
volume = {40},
year = {2001},
}

TY - JOUR
AU - Skiba, Robert
TI - On the Lefschetz fixed point theorem for multivalued weighted mappings
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2001
PB - Palacký University Olomouc
VL - 40
IS - 1
SP - 201
EP - 214
LA - eng
KW - fixed points; weighted mappings; Darbo homology; Lefschetz number; ANR-spaces
UR - http://eudml.org/doc/23711
ER -

References

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  2. Darbo G., Teoria dell’ omologia in una categoria di mappe plurivalenti ponderate, Rend. Sem. Mat. Univ. Padova 28 (1958), 188-224. (1958) Zbl0097.38704MR0105093
  3. Darbo G., Sulle coincidenze di mappe ponderate, Rend. Sem. Mat. Univ. Padova 29 (1959), 256-270. (1959) Zbl0089.39001MR0126284
  4. Darbo G., Estensione alle mappe ponderate del teorema Lefshetz sui punti fissi, Rend. Sem. Mat. Univ. Padova 31 (1961), 46-57. (1961) MR0137119
  5. Fournier G., Górniewicz L., The Lefschetz fixed point theorem for some non-compact multivalued maps, Fundamenta Mathematicae 94 (1977). (1977) MR0436123
  6. Górniewicz L., Topological fixed point theory of multivaled mappings, Kluwer, 1999. (1999) MR1748378
  7. Górniewicz L., Homological methods in the fixed point theory of multivalued maps, Dissertationes Math., Warszawa 129 (1976). (1976) MR0394637
  8. Granas A., Generalizing the Hopf-Lefschetz fixed point theorem for non-compact ANR-s, Symposium on Infinite Dimensional Topology, Bâton-Rouge, 1967. (1967) 
  9. von Haeseler F., Skordev G., Borsuk-Ulam theorem, fixed point index and chain approximation for maps with multiplicity, Pacific J. of Math. 153, 2 (1992), 369-396. (1992) MR1151567
  10. Jerrard R., Homology with multivalued functions applied to fixed points, Trans. AMS 213 (1975), 407-428. (1975) MR0380778
  11. Jodko-Narkiewicz S., Topological degree of weighted mappings, UMK Toruń, 1989, (in Polish). (1989) 
  12. Pejsachowicz J., Relation between the homotopy and the homology theory of weighted mappings, Bollettino U. M. I. 15-B (1978), 285-302. (1978) Zbl0391.55009MR0515493
  13. Pejsachowicz J., The homotopy theory of weighted mappings, Bollettino U. M. I. 14-B (1977), 702-720. (1977) Zbl0452.55006MR0500939
  14. Spanier E., Algebraic topology, McGraw-Hill, 1966. (1966) Zbl0145.43303MR0210112

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