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Let E→B be a fiber bundle and E′→B be a vector bundle. Let G be a compact group acting fiber preservingly and freely on both E and E′−0, where 0 is the zero section of E′→B. Let f:E→E′ be a fiber preserving G-equivariant map, and let Zf={x∈E | f(x)=0} be the zero set of f. It is an interesting problem to estimate the dimension of the set Zf. In 1988, Dold [5] obtained a lower bound for the cohomological...
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