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References
H. Bass, Euler characteristics and characters of discrete groups, Inventiones Math. 35 (1976) 155–196.
R. F. Brown, The Lefschetz fixed point theorem, Scott Foresman, Glenview and London, 1971.
M. M. Cohen, A course in simple homotopy theory, Graduate Texts in Mathematics, Springer-Verlag, New York, Heidelberg, Berlin, 1973.
S. Ferry, Homotopy, simple homotopy and compacta, Topology 19 (1980) 101–110.
S. Ferry, Finitely dominated compacta need not have finite type, this volume.
R. Geoghegan, The homomorphism on fundamental group induced by a homotopy idempotent having essential fixed points, Pacific J. Math. (to appear).
S. Gersten, A product formula for Wall's obstruction, Amer. J. Math. 88 (1966) 337–346.
S. Kinoshita, On some contractible continua without the fixed point property, Fund. Math. 40 (1953) 96–98.
K. Reidemeister, Automorphismen von Homotopiekettenringen, Math. Ann. 112 (1936), 586–593.
K. Reidemeister, Complexes and homotopy chains, Bull. Amer. Math. Soc. 56 (1950), 297–307.
J. R. Stallings, Centerless groups-an algebraic formulation of Gottlieb's theorem, Topology 4 (1965) 129–134.
C. T. C. Wall, Finiteness conditions for CW complexes, Annals of Math., 81 (1965), 55–69.
F. Wecken, Fixpunktklassen, I, II, III, Math. Ann. 117 (1941) 659–671; 118 (1942) 216–234 and 544–577.
R. L. Wilder, Some mapping theorems with applications to non-locally connected spaces, pp. 378–388 of Algebraic Geometry and Topology, a symposium in honor of S. Lefschetz, edited by R. H. Fox, D. C. Spencer and A. W. Tucker, Princeton University Press, Princeton, 1957.
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Geoghegan, R. (1981). Fixed points in finitely dominated compacta: the geometric meaning of a conjecture of H. Bass. In: Mardešić, S., Segal, J. (eds) Shape Theory and Geometric Topology. Lecture Notes in Mathematics, vol 870. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089704
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DOI: https://doi.org/10.1007/BFb0089704
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