If X and Y are two connected topological spaces and over Complex number field both spaces have same cohomology groups. If we restrict coefficients over field of rational numbers then the cohomology groups of X and Y are same or not? More general what happens with cohomology when we restrict or extent the coefficients over the fields.
2026-03-30 05:13:27.1774847607
Comparison of cohomologies of spaces over fields.
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