About this ebook
The embeddability and structure of all locally compact one-to-one continuous metric (equivalently, Hausdorff) images of the real line are studied. The structure of such spaces is utilized to obtain, for example, necessary and sufficient conditions that they be embeddable in the plane. Special embeddings in the plane and in 3-space are also obtained and the embedding of such spaces in 2-manifolds is investigated.
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