In algebraic topology, a simplicial homotopy[1]pg 23 is an analog of a homotopy between topological spaces for simplicial sets. If
are maps between simplicial sets, a simplicial homotopy from f to g is a map
such that the diagram (see [1]) formed by f, g and h commute; the key is to use the diagram that results in and for all x in X.
YouTube Encyclopedic
-
1/3Views:5 33057 906379
-
Algebraic Topology 10: Simplicial Homology
-
Simplices and simplicial complexes | Algebraic Topology | NJ Wildberger
-
Francesca Tombari (8/27/21): Decomposing simplicial complexes (without losing pieces)
Transcription
See also
- Kan complex
- Dold–Kan correspondence (under which a chain homotopy corresponds to a simplicial homotopy)
- Simplicial homology
References
- ^ Goerss, Paul G.; Jardin, John F. (2009). Simplicial Homotopy Theory. Birkhäuser Basel. ISBN 978-3-0346-0188-7. OCLC 837507571.
External links
![](/s/i/modif.png)