in 52 Weeks
Long Line Topology & Genealogy
This weeks prompt brought to mind the mathematical theory of long line topology. It occurs to me that genealogy research could be analogous to this theory. We all have a known lineage and then it is longer. That’s what long line topology is about, there are real lines and then they are longer.  In other words, lines, or rays, or ordinal numbers, have no end, they are always longer. I would say the same is true of our genealogical lineages.
I have traced my maternal and paternal lineages over many generations, to the “nth” great grandparent, if you will.  But, there is always another generation, an “n+1” great grandparent. The problem for genealogists is finding the documentation and putting a name to the n+1 great grandparent. Through research, genealogists can solve this long line problem, almost. Say we discover our n+1 great grandparent on a particular lineage. We, therefore, have lengthened our real, or known, lineage and there is now a new n+1 great grandparent to discover.
Do you see what I mean? We all have long lineages, but then they are longer.
1. Entry for long line topology, Wikipedia.com; https://en.wikipedia.org/wiki/Long_line_(topology)
2. Osborn family tree, Ancestry.com; https://www.ancestry.com/family-tree/tree/13493206/