Skip to main content
MathOverflow

Return to Answer

added reference
Source Link
goleta
goleta
  • 69
  • 2

This is really a comment but I am not entitled. There is a purely topological characterization of $n$-cubes due to J. de Groot in the Felix Hausdorff Gedenkband (1972): Topological characterization of metrizable cubes. This givesspecialises to one for the closed disc as requested in your question. The condition is too intricate for me to quote it here but can be easily accessed at the review of this article on MR(MR0348723).

This is really a comment but I am not entitled. There is a purely topological characterization of $n$-cubes due to J. de Groot in the Felix Hausdorff Gedenkband (1972). This gives one for the disc as requested in your question. The condition is too intricate for me to quote it here but can be easily accessed at the review of this article on MR.

This is really a comment but I am not entitled. There is a purely topological characterization of $n$-cubes due to J. de Groot in the Felix Hausdorff Gedenkband (1972): Topological characterization of metrizable cubes. This specialises to one for the closed disc as requested in your question. The condition is too intricate for me to quote it here but can be easily accessed at the review of this article (MR0348723).

Source Link
goleta
goleta
  • 69
  • 2

This is really a comment but I am not entitled. There is a purely topological characterization of $n$-cubes due to J. de Groot in the Felix Hausdorff Gedenkband (1972). This gives one for the disc as requested in your question. The condition is too intricate for me to quote it here but can be easily accessed at the review of this article on MR.