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Abstract. Using fiberings, we determine the cup-length and the Lyusternik-Shnirel'man category for some infinite families of real flag manifoldsWe also give, or describe ways to obtain, interesting estimates for the cup-length of any O(n 1 + . . .To present another approach (combining well with the "method of fiberings"), we generalize to the real flag manifolds Stong's approach used for calculations in the Z 2 -cohomology algebra of the Grassmann manifolds.

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