So I’m going through “Elementary Topology Problem Textbook” by Viro and all, and have problems with 23.3x paragraph which is devoted to simplicial schemes. More concretely I can’t tackle 23.4x problem which is also on an attached image. My thoughts on that are: So (open) simplex is just a set $ \{ c \in S […]

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## Problems with simplicial space

- Post author By Q+A Expert
- Post date March 12, 2020
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- Tags \Sigma) : \rho(c, \Sigma)$ are just open balls $ B_r(c) := \{ c' \in S(V, and have problems with 23.3x paragraph which is devoted to simplicial schemes. More concretely I can't tackle 23.4x problem which is also on, c') \le r \} $. By that I can conclude that $c' \in B_r(c) $ iff $ \sigma_{c'} \subseteq \sigma_c $ (but I can't work through that correctly, c') < r \} $ and closed balls are $ B_r(c) := \{ c' \in S(V, I feel like I either misunderstood something or can't see an obvious step. Thanks., I've done this step on my own feelings). Can anyone give me a hint how to tackle this problem, So I'm going through "Elementary Topology Problem Textbook" by Viro and all, where $\sigma \in \Sigma$. I know that open sets in $S(V