Put $P=[0,1]$. Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfies the following axioms of projective geometry. Furthermore the obvious maps from the configuration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$

Put $P=[0,1]$. Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfies the following axioms of projective geometry. Furthermore the obvious maps from the configuration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$

Put $P=[0,1]$. Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfy the following axioms of projective geometry and the obvious maps from the configuration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$

Put $P=[0,1]$. Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfies the following axioms of projective geometry. Furthermore the obvious maps from the configuration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$

Put $P=[0,1]$.Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfy the following axioms of projective geometry and the obvious maps from the canfiguration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$

Put $P=[0,1]$. Is there a compact subset $L$ of the hyper space of $P$ such that the pair $(P, L)$ satisfy the following axioms of projective geometry and the obvious maps from the configuration space of $P$ to $L$ and configuration space of $L$ to $P$ would be continuous?

Non-isomorphic projective planes on $\omega$