This paper has three parts. In this first part, we formulate and prove from V = L a new combinatorial principle, ⋄++. In the second part, we discuss the topological problem which led to the formulation of ⋄++. Finally, we use ⋄++ to construct a space solving the topological problem.
This is the published version, also available here: http://dx.doi.org/10.2307/2273322.
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