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So we are interested in CAT ( 1 ) spaces.
Since the results in (operatorname {CAT} kappa)) spaces can be deduced from those in (operatorname {CAT}(1)) spaces, we now sufficiently state lemmas on (operatorname {CAT}(1)) spaces.
We refer to [9] for more details on geodesic spaces including CAT ( 1 ) spaces.
It is well known that Hilbert and Lebesgue L p ( p > 1 ) spaces are uniformly smooth.
Most of them are proved in the setting of CAT ( 1 ) spaces.
Most of them are proved in the framework of (operatorname{CAT}(1)) spaces.
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