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Topological semigroups/monoids: topological space endowed with a continuous semigroup/monoid structure, or, equivalently, semigroup/monoid endowed with a compatible topology.
7
votes
Accepted
Spaces with no topological monoid structure which are homotopy equivalent to topological mon...
We can modify Neil's argument in the other thread to give an example of a contractible space with no monoid structure.
Let T be a tree with the following property:
For each point x in T, there are …