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References
F.W. Bauer, A shape theory with singular homology, Pacific J. Math. 64(1976), 25–65.
K. Borsuk, Concerning homotopy properties of compacta, Fund. Math. 62(1968), 223–254.
A. Calder and H.M. Hastings, Realizing strong shape equivalences, J.Pure and Appl. Algebra 20(1981), 129–156.
F.W. Cathey, Strong shape theory, in Shape theory and geometric topology (Dubrovnik, 1981), Lecture Notes in Math. 870, Springer-Verlag, Berlin 1981, 215–238.
F.W.Cathey and J.Segal, Strong shape theory and resolutions, Topology and its Appl. (to appear).
J. Dydak and J. Segal, Strong shape theory, Dissertationes Math. 192(1981), 1–42.
D.A. Edwards and H.M. Hastings, Čech and Steenrod homotopy theories with applications to geometric topology, Lecture Notes in Math. 542, Springer-Verlag, Berlin, 1976.
Y. Kodama and J. Ono, On fine shape theory, Fund. Math. 105(1979), 29–39.
Ju.T. Lisica, On the exactness of the spectral homotopy group sequence in shape theory, Dokl.Akad. Nauk SSSR 236(1977), 23–26.
Ju.T.Lisica, Strong shape theory and the Steenrod-Sitnikov homology, Sibirski Mat.Ž. (to appear).
Ju.T.Lisica and S.Mardešić, Coherent prohomotopy and strong shape, pp.1–124 (to appear).
S. Mardešič, Shapes for topological spaces, General Topology and its Appl. 3(1973), 265–282.
S. Mardešić, Approximate polyhedra, resolutions of maps and shape fibrations, Fund. Math. 114(1981), 53–78.
S. Mardešić and J. Segal, Shapes of compacta and ANR-systems, Fund. Math. 72(1971), 41–59.
S. Mardešić and J. Segal, Shape theory — The inverse system approach, North-Holland Publ. Co., Amsterdam, 1982.
Z.R.Miminošvili, On a strong spectral shape theory, Trudy Tbilisk. Mat.Inst. 68(1981).
K. Morita, On shapes of topological spaces, Fund. Math. 86(1975), 251–259.
J.B. Quigley, An exact sequence from the n-th to (n-1)-th fundamental group, Fund.Math. 77(1973), 195–210.
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Lisica, J.T., Mardešić, S. (1984). Coherent prohomotopy and a strong shape category of topological spaces. In: Faddeev, L.D., Mal’cev, A.A. (eds) Topology. Lecture Notes in Mathematics, vol 1060. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099932
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DOI: https://doi.org/10.1007/BFb0099932
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