Events
Set Theoretic Topology Seminar |
Time: Mar 06, 2017 (04:00 PM) |
Location: Parker Hall 228 |
Details: Gary will continue (and finish) speaking on joint work with Dave Lutzer. Abstract: A LOTS is a topological space which admits a linear ordering such that the topology of the space is generated by the basis of open intervals. The union of two LOTS need not be a LOTS (consider, e.g., the closed interval [0,1] and the open interval (2,3)). However, we shall prove that if the spaces are locally compact and 0-dimensional, then the topological sum of any number (finite or infinite) of LOTS is again a LOTS. |