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Borsuk's index and pointed movability for projective movable continua

It is shown that each projective movable continuum X is shape dominated by a regularly movable continuum of the same dimension. This has two consequences. First, if the dimension of X is ? k, k ? 2, then X is shape dominated by a continuum in R^2k. This answers affirmatively a special case of a question raised by Borsuk, at least as far back as 1975, in all dimensions except dim = 2. Second, it implies that such a continuum is pointed movable, again giving an affirmative answer, in a special case, to the old question in shape theory of whether movable continua are always pointed movable

dimensions; shape dimension; fundamental dimension; Borsuk's index; shape embedding index; movability; regular movability; pointed movability

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