On Spaces Filled up by Continuous Collections of Atriodic Continuous Curves
نویسنده
چکیده
Throughout this paper, G will denote a nondegenerate continuous collection of atriodic continuous curves (i.e. arcs or simple closed curves) filling up a compact metric continuum M. As is well known, we may regard G itself as a compact metric continuum, with the elements of the collection G as the points of the space G and with G, as a space, the image of M under an open continuous mapping whose inverse sets are the elements of the collection G. The principal results of this paper are the following theorems.
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