Are there any illustrated resources on basic metric and topological spaces, focusing on intuition?
Yes, there are many illustrated resources available on basic metric and topological spaces that focus on intuition. Here are a few examples:

- Visual Topology by Dave Richeson: This is a collection of visual illustrations of various topological concepts and spaces, including metric spaces, using images and animations to help explain the ideas.
- Visualizing Metric Spaces by Matt Baker: This is an interactive website that allows you to explore various metric spaces using visualizations and interactive tools, helping to build intuition about the properties of these spaces.
- Topology for Beginners by Steve Awodey: This is a set of lecture notes that includes many visual illustrations of topological concepts and spaces, as well as exercises and examples to help build intuition about these ideas.
- Topology Illustrated by Peter Saveliev: This is a book that uses a variety of visual illustrations and examples to introduce the basic concepts of topology, including metric and topological spaces.

These resources are all aimed at helping to build intuition about metric and topological spaces through visual representations and examples. They can be useful for anyone looking to better understand these concepts, whether you are a student studying mathematics or a researcher working in the field.