Previously we based software trace and log analysis on software narratology. While continuing further research and development in that direction we are now constructing a new software trace and log analysis system called TopoLog based on ideas and techniques from topology (originally called analysis situs in Latin: analysis of the situation) as a part of theoretical software diagnostics. Over the years we described a few trace and log analysis patterns based on topological metaphors: Quotient Trace, Message Cover, Fiber Bundle, Sheaf of Activities, and Adjoint Space. Before starting our pattern work on software trace analysis we considered threads as braids in abstract space, and, after the first analysis patterns, we considered multithreading as multibraiding. For general software traces and logs including memory snapshots we propose topological state analysis, for example, analysis of the covering space via open and closed Memory Regions and Region Strata.