Talk:Open Sets of Double Pointed Topology

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Should I pursue this further (Separated Sets of Double Pointed Topology, etc. etc. etc.) or is this result (with its counterpart) sufficient and should any page drawing on more evolved types of sets from the DPT prove them on-the-fly? --Lord_Farin (talk) 19:09, 17 October 2012 (UTC)

The DPT versions of various topologies are conceptually important because they exhibit examples of spaces which are not $T_0$ but have lots of other properties, thereby showing that many properties that were thought to be dependent upon the Kolmogorov axiom are not. So I say, if you have results about DPT's, post them all up. It may not be immediately apparent how significant they are. --prime mover (talk) 19:22, 18 October 2012 (UTC)