Cell Decomposition and Dimension Functions in First-Order Topological Structures

Larry Mathews · Proceedings of the London Mathematical Society · 1995

The notion of a cell and that of a cell decomposition has been a central one in the study of certain first-order theories. A cell is a particular kind of definable set. The notion of a cell was first explicitly considered in [8], in the context of the theory of real closed fields. Collins defined a class of cells in this context, and

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