Abstract
For common objects, we have a shared intuition about what it means to be one, two or three dimensional. Translating that intuition into a precise definition requires us to closely probe what mathematical structures we are considering and examine more exotic objects, for which dimension is less intuitive. This article explores the idea of dimension and its historical development through the lens of topology.
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Suggested Reading
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Acknowledgement
I thank Shantha Bhushan, Divakaran D, and the anonymous referee for their helpful comments and suggestions.
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Tulsi Srinivasan teaches mathematics at Azim Premji University. She is interested in topology, geometric group theory, and undergraduate education in mathematics.