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A flag manifold over a semifield K can be partitioned into "half i-circles"which are orbits of a K-action on that flag manifold. Here i is fixed and itcorresponds to a simple reflection in the Weyl group. We prove (for certain K)a connectedness property of the flag manifold: any two points of it can bejoined by a finite sequence of half i-circles for various i.

Half circles on flag manifolds over a semifield