So I'd like to know how all nonempty minimal faces of $C$ have the same dimension ($C$ is a closed convex set).
In fact, how is it equal to the dimension of the lineality space lin$(C)$.
Please help!
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1please provide context for this qn. – cineel Dec 16 '21 at 11:54
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Welcome to [math.se] SE. Take a [tour]. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an [edit]): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – Martin R Dec 17 '21 at 12:37