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DOI:

https://doi.org/10.12775/TMNA.2022.005

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Bibliografia

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K. Borsuk, Drei Sätze über die n-dimensionale Euklidische Sphäre, Fund. Math. 20 (1933), 177–190.

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P.E. Desideri, P.L.Q. Pergher and D. Vendrúscolo, Some generalizations of the Borsuk–Ulam Theorem, Publ. Math. Debrecen 78 (2011), no. 3–4, 583–593.

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E. Fadell, Cohomological methods in nonfree G-spaces with applications to general Borsuk–Ulam theorems and critical point theorems for invariant functionals, Nonlinear Functional Analysis and its Applications (Maratea, 1985), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 173, Reidel, Dordrecht, 1986, pp. 1–45

E. Fadell and S. Husseini, Index theory for G-bundle pairs with applications to Borsuk–Ulam type theorems for G-sphere bundles, Nonlinear Analysis, World Sci. Publishing, Singapore, 1987, pp. 307–336.

D.L. Gonçalves, The Borsuk–Ulam theorem for surfaces, Quaest. Math. 29 (2006), 117–123.

D.L. Gonçalves and J. Guaschi, The Borsuk–Ulam theorem for maps into a surface, Top. Appl. 157 (2010), 1742–1759.

D.L. Gonçalves, J. Guaschi and V. C. Laass, The Borsuk–Ulam property for homotopy classes of selfmaps of surfaces of Euler characteristic zero, J. Fixed Point Theory Appl. 21 (2019), no. 65, 29 pp.

D.L. Gonçalves, J. Guaschi and V.C. Laass, The Borsuk–Ulam property for homotopy classes of maps from the torus to the Klein bottle, Topol. Methods Nonlinear Anal. 56 (2020), 529–558.

D.L. Gonçalves and A.P. dos Santos, Diagonal involutions and the Borsuk–Ulam property for product of surfaces, Bull. Braz. Math. Soc. New Series 50 (2019), 771–786.

M. Izydorek, Remarks on Borsuk–Ulam theorem for multivalued maps, Bull. Polish Acad. Sci. Math. 35 (1987), 501–504.

M. Izydorek and J. Jaworowski, Parametrized Borsuk–Ulam theorems for multivalued maps, Proc. Amer. Math. Soc. 116 (1992), 273–278.

W. Marzantowicz, A Borsuk–Ulam theorem for orthogonal T k and Zpr actions and applications, J. Math. Anal. Appl. 137 (1989), 99–121.

W. Marzantowicz, D. de Mattos and E.L. dos Santos, Bourgin–Yang version of the Borsuk–Ulam theorem for Zpk -equivariant maps, Algebr. Geom. Topol. 12 (2012), 2245–2258.

J. Matoušek, Using the Borsuk–Ulam Theorem, Universitext, Springer–Verlag, 2002.

H. Steinlein, Borsuk’s antipodal theorem and its generalizations and applications: a survey, Topological Methods in Nonlinear Analysis, Sém. Math. Sup. 95, Presses Univ. Montréal, Montreal, QC (1985), 166–235.

G.W. Whitehead, Elements of Homotopy Theory, Graduate Texts in Mathematics, vol. 61, Springer–Verlag, 1978.

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2022-08-31

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, & . Topological Methods in Nonlinear Analysis [online]. 31 sierpień 2022, T. 60, nr 2, s. 491–516. [udostępniono 22.7.2024]. DOI 10.12775/TMNA.2022.005.

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