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stefaNo
  • Member for 7 years, 5 months
  • Last seen more than 5 years ago
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revised
Curvature $\geq-1$ but not $\geq1$
added information about the spaces of directions of a cone-manifold
revised
Curvature $\geq-1$ but not $\geq1$
added tag "curvature" (because "big list" was removed by an expert user)
awarded
 Supporter
revised
Curvature $\geq-1$ but not $\geq1$
changed < vith \leq
revised
Curvature $\geq-1$ but not $\geq1$
added assumption on the dimension
revised
Curvature $\geq-1$ but not $\geq1$
improved formatting
comment
Curvature $\geq-1$ but not $\geq1$
I am sorry. I edited again by reformulating and by adding an example of answer to clarify better.
revised
Curvature $\geq-1$ but not $\geq1$
to clarify better: reformulated, added trivial example of answer
revised
Curvature $\geq-1$ but not $\geq1$
added tags 'reference request' and 'big list', rephrased, added motivations
awarded
 Editor
comment
Curvature $\geq-1$ but not $\geq1$
Probably what you say is true for curvature bounds from above. For example, by doubling a geodesic hyperbolic triangle you get a simply connected (homeomorphic to $S^2$) Aleksandrov space with curvature bounded below that is not contractible.
revised
Curvature $\geq-1$ but not $\geq1$
added an optional hypothesis: cone-manifold case
awarded
 Student
asked
Curvature $\geq-1$ but not $\geq1$
awarded
 Informed