We present a brief overview of the theory of homology and homotopy for simplicial complexes and quotients of simplicial complexes. We also list some of the most important classes of simplicial complexes such as contractible and shellable complexes.
Keywords
- Exact Sequence
- Simplicial Complex
- Homotopy Type
- Relative Homology
- Homotopy Equivalent
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Simplicial Topology. In: Simplicial Complexes of Graphs. Lecture Notes in Mathematics, vol 1928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75859-4_3
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DOI: https://doi.org/10.1007/978-3-540-75859-4_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75858-7
Online ISBN: 978-3-540-75859-4
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