Möbius manifolds, monoids, and retracts of topological groups

@article{Hofmann2015MbiusMM,
  title={M{\"o}bius manifolds, monoids, and retracts of topological groups},
  author={K. Hofmann and J. Martin},
  journal={Semigroup Forum},
  year={2015},
  volume={90},
  pages={301-316}
}
The definition for an $$n$$n-dimensional Möbius manifold is given; $$n=2$$n=2 yields the classical Möbius band. For $$n=1, 2$$n=1,2 or $$4$$4, these manifolds are compact topological monoids, for $$n=8$$n=8, topological Moufang monoids. All of these manifolds are homeomorphic to retracts of topological groups. If $$n \le 4$$n≤4, then any compact $$n$$n-manifold $$X$$X with connected boundary $$B$$B admitting the structure of a topological monoid with $$B$$B being a topological subsemigroup of… Expand
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References

SHOWING 1-9 OF 9 REFERENCES
Recent progress in general topology
  • 85
The structure of compact groups
  • 413
  • PDF
Semigroups on coset spaces
  • 6
Elements of compact semigroups
  • 264