Vitalii V Fedorchuk 2002 Russ. Math. Surv. 57 361 doi:10.1070/RM2002v057n02ABEH000498
On some problems of topological dimension theory
REVIEW ARTICLEVitalii V Fedorchuk1
Show affiliationsThis survey is devoted to problems in dimension theory related to the works of Smirnov. New results concern the dimensions of subsets of manifolds. Under the continuum hypothesis we construct two infinite-dimensional 4-manifolds. The first is a manifold "without intermediate dimensions", that is, every closed subset of it is either infinite-dimensional or of dimension at most four. In the second manifold the dimensions of open subsets take infinitely many values.
- MSC
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54F45 Dimension theory (See also 55M10)
57N13 Topology of E4, 4-manifolds (See also 14Jxx, 32Jxx)
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
- Dates
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Issue 2 (2002)
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On some problems of topological dimension theory
Vitalii V Fedorchuk 2002 Russ. Math. Surv. 57 361
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A Balance Method of Using the Quadrant Electrometer for the Measurement of Power
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Spectral control of emissions from tin doped targets for extreme ultraviolet lithography
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Mahesh M Waje et al 2005 Nanotechnology 16 S395
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