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# Category:Unproven

## Pages in category "Unproven"

The following 31 pages are in this category, out of 31 total.

### A

### B

### C

- Characterization of when 2^X is homogeneous
- Characterization of when C(X) is homogeneous
- Compact metric space Peano space iff property S
- Cone over circle with spiral homeomorphic to hyperspace of continua of circle with spiral
- Connected if and only if no proper clopen sets
- Connected subset of Peano continuum is arcwise connected
- Countably infinite compactum homeomorphic to Pelczyński