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Results tagged with moduli-spaces
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user 104728
Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.
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Objects with trivial automorphism group
No. An example of a non-trivial family would occur with $S=\mathbb{A}^1\setminus\{0,1\}$ and $X_s$ given by $\mathbb{P}^1$ marked at the points $(0,1,\infty,s)$. I think the issue you run into is basi …
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