# Abstract Simplicial Complexes

Formalized Mathematics (2010)

- Volume: 18, Issue: 1, page 95-106
- ISSN: 1426-2630

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topKarol Pąk. "Abstract Simplicial Complexes." Formalized Mathematics 18.1 (2010): 95-106. <http://eudml.org/doc/267250>.

@article{KarolPąk2010,

abstract = {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.},

author = {Karol Pąk},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {95-106},

title = {Abstract Simplicial Complexes},

url = {http://eudml.org/doc/267250},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Karol Pąk

TI - Abstract Simplicial Complexes

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 1

SP - 95

EP - 106

AB - 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.

LA - eng

UR - http://eudml.org/doc/267250

ER -

## References

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- [7] Grzegorz Bancerek and Yasunari Shidama. Introduction to matroids. Formalized Mathematics, 16(4):325-332, 2008, doi:10.2478/v10037-008-0040-0.[Crossref]
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- [11] Adam Naumowicz. On Segre's product of partial line spaces. Formalized Mathematics, 9(2):383-390, 2001. Zbl1019.51003
- [12] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
- [13] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
- [14] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.
- [15] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- [16] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

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