Nikiel's conjecture
From HandWiki
In mathematics, Nikiel's conjecture in general topology was a conjectural characterization of the continuous image of a compact total order. The conjecture was first formulated by Jacek Nikiel (pl) in 1986.[1] The conjecture was proven by Mary Ellen Rudin in 1999.[2]
The conjecture states that a compact topological space is the continuous image of a total order if and only if it is a monotonically normal space.
Notes
- ↑ Nikiel, J. (1986). "Some problems on continuous images of compact ordered spaces". Questions and Answers in General Topology 4: 117–128.
- ↑ "Nikiel's Conjecture". Topology and Its Applications 116: 305–331. 2001. doi:10.1016/S0166-8641(01)00218-8.
 |  |
