Electronic Version 19 (1994), 169-180

Tim LaBerge and Avner Landver

We investigate unions of chains of topological spaces. A family { X_\alpha : \alpha < \kappa} of topological spaces is a \kappa-chain if \alpha < \beta < \kappa implies that X_\alpha is a subspace of X_\beta. Any topology on X = \cup _{\alpha < \kappa} X_\alpha for which each each X_\alpha is a subspace is called a compatible topology.

We investigate tightness of compatible topologies, compatible topologies that are compact, and chains for which there is only one compatible topology.

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volume 19: table of contents
topology proceedings Electronic Version