Algebraic & Geometric Topology Volume 7, issue 4 (2007)

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A parametrized Borsuk–Ulam theorem for a product of spheres with free $\mathbb{Z}_p$–action and free $S^1$–action

Denise de Mattos and Edivaldo L dos Santos

Algebraic & Geometric Topology 7 (2007) 1791–1804

DOI: 10.2140/agt.2007.7.1791

Bibliography

1	G E Bredon, Introduction to compact transformation groups, Pure and Applied Mathematics 46, Academic Press (1972) MR0413144
2	F Cohen, E L Lusk, Configuration-like spaces and the Borsuk–Ulam theorem, Proc. Amer. Math. Soc. 56 (1976) 313 MR0425949
3	A Dold, Parametrized Borsuk–Ulam theorems, Comment. Math. Helv. 63 (1988) 275 MR948782
4	R M Dotzel, T B Singh, S P Tripathi, The cohomology rings of the orbit spaces of free transformation groups of the product of two spheres, Proc. Amer. Math. Soc. 129 (2001) 921 MR1712925
5	M Izydorek, S Rybicki, On parametrized Borsuk–Ulam theorem for free $Z_p$–action, from: "Algebraic topology (San Feliu de Guíxols, 1990)", Lecture Notes in Math. 1509, Springer (1992) 227 MR1185972
6	J Jaworowski, Bundles with periodic maps and mod $p$ Chern polynomial, Proc. Amer. Math. Soc. 132 (2004) 1223 MR2045442
7	B S Koikara, H K Mukerjee, A Borsuk–Ulam type theorem for a product of spheres, Topology Appl. 63 (1995) 39 MR1328617
8	B S Koikara, H K Mukerjee, A Borsuk–Ulam theorem for maps of fibre bundles with manifolds as fibres, Arch. Math. $($Basel$)$ 66 (1996) 499 MR1388100
9	H J Munkholm, Borsuk–Ulam type theorems for proper $Z_{p}$–actions on ($\mathrm{mod}$ $p$ homology) $n$–spheres, Math. Scand. 24 (1969) MR0258025
10	M Nakaoka, Parametrized Borsuk–Ulam theorems and characteristic polynomials, from: "Topological fixed point theory and applications (Tianjin, 1988)" (editor B J Jiang), Lecture Notes in Math. 1411, Springer (1989) 155 MR1031793
11	E H Spanier, Algebraic topology, McGraw-Hill Book Co. (1966) MR0210112
12	R G Swan, A new method in fixed point theory, Comment. Math. Helv. 34 (1960) 1 MR0115176
13	A Y Volovikov, On fiberwise $G$–mappings, Uspekhi Mat. Nauk 51 (1996) 189 MR1406059