@article{Fernández-Ternero2022, 
author = {D. Fernández-Ternero and E. Macías-Virgós and D. Mosquera-Lois and N. A. Scoville and J. A. Vilches},
title = {Fundamental theorems of Morse theory on posets},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {14922-14945},
keywords = {Morse theory, finite spaces, posets, two-wide posets, down-wide posets},
url = {https://www.sciopen.com/article/10.3934/math.2022818},
doi = {10.3934/math.2022818},
abstract = {We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the Morse-Pitcher inequalities in that context.}
}