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2
votes
Pairs of rays in euclidean buildings
Pick any time $t_0$ where $\alpha$ and $\beta$ are, locally around $t_0$, each in a fixed chamber : $\alpha(t_0) \in C$ and $\beta(t_0) \in C'$. Then if you consider an apartment $A$ containing $C$ an …
1
vote
Does a spherical building embed in a building of type $A_n$?
A comment on the metric aspect of the question.
In the case of the embedding of a polar space $X$ into a projective space $\tilde{X}$ described by Buekenhout and Cohen, hyperplanes in $X$ are sent to …