Weakly Boolean maximal chains of homeomorphic topologies
If $λ<κ$ are infinite cardinals, a linear order $L$ is isomorphic to a maximal chain in $[κ]^{κ|κ}$ (resp. $[κ]^{λ|κ}$; $[κ]^{κ|λ}$) iff $L$ is weakly Boolean, the weight of all initial segments of $L$ is equal to $κ$ (resp. $λ$, $λ^+$) and the weight of all final segments of $L$ is equal to $κ$ (resp. $λ^+$, $λ$). We also provide an application of this result in topology.
math.LO↗