We introduce the notions of the geometric interior and the centre of mass for subsets of real linear spaces. We prove a number of theorems concerning these notions which are used in the theory of abstract simplicial complexes.
@article{bwmeta1.element.doi-10_2478_v10037-010-0021-y, author = {Karol P\k ak}, title = {The Geometric Interior in Real Linear Spaces}, journal = {Formalized Mathematics}, volume = {18}, year = {2010}, pages = {185-188}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0021-y} }
Karol Pąk. The Geometric Interior in Real Linear Spaces. Formalized Mathematics, Tome 18 (2010) pp. 185-188. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0021-y/
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