In this article we define the notion of abstract simplicial complexes and operations on them. We introduce the following basic notions: simplex, face, vertex, degree, skeleton, subdivision and substructure, and prove some of their properties.
@article{bwmeta1.element.doi-10_2478_v10037-010-0013-y, author = {Karol P\k ak}, title = {Abstract Simplicial Complexes}, journal = {Formalized Mathematics}, volume = {18}, year = {2010}, pages = {95-106}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0013-y} }
Karol Pąk. Abstract Simplicial Complexes. Formalized Mathematics, Tome 18 (2010) pp. 95-106. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-010-0013-y/
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