I came across this paper about Nearness Spaces. It seemed to be at the time (1970-80s) a promising approach to general topology via category theory. I have found no posts at all on stackexchange concerning Nearness Spaces. Has it hit a dead-end, been replaced by a better approach, simply forgotten, or called by a different name now?

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    $\begingroup$ Some bibliographical references for the author Horst Herrlich may be helpful to you. $\endgroup$ – hardmath Jul 18 '14 at 11:59
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    $\begingroup$ Have you tried Wilipedia? Near sets? $\endgroup$ – Sergio Parreiras Jul 18 '14 at 11:59

As the author's references and abstract suggest, nearness spaces are a slight generalization of proximity spaces, an older concept.

There are a handful of Questions at Math.SE about proximity spaces.

Here are some "recent" research papers connected with nearness spaces:

  • $\begingroup$ Great! Just what I was looking for. $\endgroup$ – Rachmaninoff Jul 19 '14 at 2:22

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