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KP Hart
KP Hart
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References to Engelking's Dimension Theory (1978) ISBN 0-444-85176-3. The answer is yes for compact metrizable spaces, see Section 1.13. In general it is no in general, see Example 3.3.8 (Lokucievskii's example of a compact space $X$ with $\dim X=1$ and $\mathop{\mathrm{ind}}X=2$).

References to Engelking's Dimension Theory (1978) ISBN 0-444-85176-3. The answer is yes for compact metrizable spaces, see Section 1.13. In general it is no in general, see Example 3.3.8 (Lokucievskii's example of a compact space $X$ with $\dim X=1$ and $\mathop{\mathrm{ind}}X=2$.

References to Engelking's Dimension Theory (1978) ISBN 0-444-85176-3. The answer is yes for compact metrizable spaces, see Section 1.13. In general it is no in general, see Example 3.3.8 (Lokucievskii's example of a compact space $X$ with $\dim X=1$ and $\mathop{\mathrm{ind}}X=2$).

Source Link
KP Hart
KP Hart
  • 11.4k
  • 38
  • 48

References to Engelking's Dimension Theory (1978) ISBN 0-444-85176-3. The answer is yes for compact metrizable spaces, see Section 1.13. In general it is no in general, see Example 3.3.8 (Lokucievskii's example of a compact space $X$ with $\dim X=1$ and $\mathop{\mathrm{ind}}X=2$.