Dimension theory is a branch of mathematics that studies the concept of dimension in various contexts, including topology, geometry, and functional analysis. At its core, dimension theory seeks to generalize and understand the notion of dimensionality beyond the familiar geometric dimensions (like length, area, and volume) found in Euclidean spaces. Here are some key aspects of dimension theory: 1. **Topological Dimension**: This is often defined in terms of a topological space's properties.
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