In mathematics, a Busemann G-space is a type of metric space first described by Herbert Busemann in 1942.
If is a metric space such that
then X is said to be a Busemann G-space. Every Busemann G-space is a homogenous space.
The Busemann conjecture states that every Busemann G-space is a topological manifold. It is a special case of the Bing–Borsuk conjecture. The Busemann conjecture is known to be true for dimensions 1 to 4. [1] [2]
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In mathematics, a Busemann G-space is a type of metric space first described by Herbert Busemann in 1942.
If is a metric space such that
then X is said to be a Busemann G-space. Every Busemann G-space is a homogenous space.
The Busemann conjecture states that every Busemann G-space is a topological manifold. It is a special case of the Bing–Borsuk conjecture. The Busemann conjecture is known to be true for dimensions 1 to 4. [1] [2]
{{
cite journal}}
: CS1 maint: multiple names: authors list (
link)