- See also
- References
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
- Interior (topology)
- Relative interior
- Algebraic interior
References
1. ^{{cite book|last=Zălinescu|first=C.|title=Convex analysis in general vector spaces|publisher=World Scientific Publishing Co., Inc|location=River Edge, NJ|year= 2002|pages=2–3|isbn=981-238-067-1|mr=1921556}}
2. ^{{cite journal|title=Partially finite convex programming, Part I: Quasi relative interiors and duality theory|last1=Borwein|first1=J.M.|last2=Lewis|first2=A.S.|journal=Mathematical Programming|volume=57|year=1992|pages=15–48|url=http://legacy.orie.cornell.edu/~aslewis/publications/92-partially-I.pdf|format=pdf|accessdate=October 19, 2011|doi=10.1007/bf01581072}}
{{topology-stub}}2. ^{{cite journal|title=Partially finite convex programming, Part I: Quasi relative interiors and duality theory|last1=Borwein|first1=J.M.|last2=Lewis|first2=A.S.|journal=Mathematical Programming|volume=57|year=1992|pages=15–48|url=http://legacy.orie.cornell.edu/~aslewis/publications/92-partially-I.pdf|format=pdf|accessdate=October 19, 2011|doi=10.1007/bf01581072}}
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