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In regard to your question about what a configuration space is: Lets pretend we have a car (which is kinda like a mobile robot). The C-space can be though of as the locations on the map where there is no collision. But what does that really mean for a mobile vehicle? For example if we are traveling 50 mph towards a brick wall and our breaks are out, you can ...


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I did not read the book. But one of possible thinks that came to my mind is this: There is big field in mathematica dedicated to preciselly define some terms (set, metric, metric space, ...) and prove a lot of thinks about them. Once you can prove, that something is "metric space" then you can use any result from this part about "metric space&...


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