Thus $C$ lies on no segment both of whose endpoints lie in $K$.
a manifold all of whose geodesics are closed [= a manifold whose geodesics are all closed]
a progression each of whose terms can be written as ......
Let $M$ be the manifold to whose boundary $f$ maps $K$.
There are $n$ continua in $X$ the union of whose images under $f$ is $K$.
Here $\{x\}$ is the set whose only member is $x$.
Let $A_i$ be disjoint members of $M$ whose union is $E$.
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