منابع مشابه
Embeddings of Compacta with Shape Dimension in the Trivial Range
In this paper a loop condition is defined which generalizes the cellularity criterion and applies to compacta with nontrivial shape. It is shown that if A", fc E", n > 5, are compacta which satisfy this loop condition and whose shape classes include a space having dimension in the trivial range with respect to n, then Sh(A") = Sh( Y) is equivalent to E" — X « E" — Y. An application is given to ...
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Shape theory is an extension of homotopy theory which uses the idea of homotopy in its conception. By comparison, the theory of n-shape, which heretofore only has been defined for metrizable compacta, has as its basic notion that of n-homotopy instead of homotopy. We shall demonstrate that the theory of n-shape extends to the class of all Hausdorff compacta.
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We consider a class of compacta X such that the maps from X onto metric compacta define an Aronszajn tree of closed subsets of X.
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Microangiopathy is one form of pathology associated with peripheral neuropathy in diabetes. Capillaries imaged by electron microscopy show a complex textured appearance, which makes segmentation difficult. Considerable variation occurs among boundaries manually positioned by human experts. Detection of region boundaries using Active Contour Models has proved impractical due to the existence of ...
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The dissipated spaces form a class of compacta which contains both the scattered compacta and the compact LOTSes (linearly ordered topological spaces), and a number of theorems true for these latter two classes are true more generally for the dissipated spaces. For example, every regular Borel measure on a dissipated space is separable. A product of two compact LOTSes is usually not dissipated,...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1976
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-90-2-115-124