On the Lefschetz fixed point theorem

Lech Górniewicz

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 2, page 221-233
  • ISSN: 0232-0525

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Górniewicz, Lech. "On the Lefschetz fixed point theorem." Mathematica Slovaca 52.2 (2002): 221-233. <http://eudml.org/doc/32118>.

@article{Górniewicz2002,
author = {Górniewicz, Lech},
journal = {Mathematica Slovaca},
keywords = {Lefschetz number; fixed point; CAC-map; condensing map; ANR-space},
language = {eng},
number = {2},
pages = {221-233},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the Lefschetz fixed point theorem},
url = {http://eudml.org/doc/32118},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Górniewicz, Lech
TI - On the Lefschetz fixed point theorem
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 2
SP - 221
EP - 233
LA - eng
KW - Lefschetz number; fixed point; CAC-map; condensing map; ANR-space
UR - http://eudml.org/doc/32118
ER -

References

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  2. BORSUK K., Theory of Retracts, PWN, Warszawa, 1966. (1966) MR0216473
  3. BOWSZYC C., Fixed point theorem for the pairs of spaces, Bull. Polish Acad. Sci. Math. 16 (1968), 845-851; 17 (1969), 367-372. (1968) MR0246290
  4. BOWSZYC C., On the Euler-Poincairé characteristic of a map and the existence of periodic points, Bul. Polish Acad. Sci. Math. 17 (1969), 367-372. (1969) MR0253327
  5. BROWN R. F., The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., Glenview Ill.-London, 1971. (1971) Zbl0216.19601MR0283793
  6. FOURNIER G., Généralisations du théoremé de Lefschetz pour des espaces noncompacts I; II; III, Bull. Polisһ Acad. Sci. Math. 23 (1975), 693-699; 701-706; 707-711. (1975) 
  7. FOURNIER G., GÓRNIEWICZ L., The Lefschetz fixed point theorem for some noncompact multivalued maps, Fund. Matһ. 94 (1977), 245-254; (1977) MR0436123
  8. FOURNIER G., GÓRNIEWICZ L., The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces, Fund. Matһ. 92 (1976), 213-222; 94 (1977), 245-254. (1976) 
  9. FOURNIER G., VIOLEТТE D., A fixed point index for compositions of acyclic multivalued maps in Banach spaces, Тhe MSRI-Korea Publications 1 (1966), 139-158; Ann. Sci. Math. Québec 22 (1998), 225-244. (1966) MR1677188
  10. GÓRNIEWICZ L., Homological methods in fixed point theory of multivalued rnappings, Dissertationes Math. (Rozprawy Mat.) 129 (1976), 1-71. (1976) MR0394637
  11. GÓRNIEWICZ L., Topological Fixed Point Theory of Multivalued Mappings, Kluwer, Dordrеcht, 1999. (1999) Zbl0937.55001
  12. GÓRNIEWICZ L., GRANAS A., On the theorem of C. Bowszyc concerning the relative version of the Lefschetz fixed point theorem, Bull. Inst. Math. Acad. Sinica 12 (1975), 137-142. (1975) MR0805015
  13. GRANAS A., Generalizing the Hopf-Lefschetz fixed point theorem for noncompact ANR's, In: Symp. Inf. Dim. Тopol., Báton-Rougе, 1967. (1967) 
  14. GRANAS A., Thе Leray-Schauder index and the fixed point theory for arbitrary ANR's, Bull. Soc. Matһ. Francе 100 (1972), 209-228. (1972) MR0309102
  15. KRYSZEWSKI W., Thе Lefschetz type theorem for a class of noncompact mapping, Suppl. Rеnd. Circ. Mat. Palеrmo (2) 14 (1987), 365-384. (1987) MR0920869
  16. NUSSBAUM R., Generalizing the fixed point index, Matһ. Ann. 228 (1979), 259-278. In: Lеcturе Notеs in Math. 1537, Springеr Vеrlag, Nеw York, 1991. (1979) MR0440587
  17. PASТOR D., A remark on generalized compact maps, Studiеs Univ. Žilina 13 (2001), 147-155. 
  18. SRZEDNICKI R., Generalized Lefschetz theorem and fixed point index formula, Тopology Appl. 81 (1997), 207-224. (1997) MR1485768
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  20. THOMPSON R. B., A unified approach to local and global fixed point indices, Adv. Math. 3 (1969), 1-71. (1969) Zbl0186.57001MR0247627

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