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6:25 AM
@MartinSleziak The tag has been removed.
There is a new tag created by Max.
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Q: Algebraic topology on locales

MaxMy question is essentially in the title: is there a well-developped theory of algebraic pointless topology, that is algebraic topology on locales ? If not, would it make sense, i.e. would it be relevant (for instance the usual fundamental group construction makes no sense for spaces like the sp...

In mathematics, pointless topology (also called point-free or pointfree topology, or locale theory) is an approach to topology that avoids mentioning points. == Intuitively == Traditionally, a topological space consists of a set of points together with a topology, a system of subsets called open sets that with the operations of intersection and union forms a lattice with certain properties. Point-free topology is based on the concept of a "realistic spot" instead of a point without extent. Spots can be joined (forming a complete lattice) and if a spot meets a join of others it has to meet some...
 

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