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Quasi-relative interior

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In topology, a branch of mathematics, the quasi-relative interior of a subset of a vector space is a refinement of the concept of the interior. Formally, if is a linear space then the quasi-relative interior of is where denotes the closure of the conic hull.[1]

Let is a normed vector space, if is a convex finite-dimensional set then such that is the relative interior.[2]

See also

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References

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  1. ^ Zălinescu 2002, pp. 2–3.
  2. ^ Borwein, J.M.; Lewis, A.S. (1992). "Partially finite convex programming, Part I: Quasi relative interiors and duality theory" (pdf). Mathematical Programming. 57: 15–48. doi:10.1007/bf01581072. Retrieved October 19, 2011.