@InProceedings{yang:LIPIcs.ITCS.2018.56, author = {Yang, Greg}, title = {{A Homological Theory of Functions: Nonuniform Boolean Complexity Separation and VC Dimension Bound Via Algebraic Topology, and a Homological Farkas Lemma}}, booktitle = {9th Innovations in Theoretical Computer Science Conference (ITCS 2018)}, pages = {56:1--56:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-060-6}, ISSN = {1868-8969}, year = {2018}, volume = {94}, editor = {Karlin, Anna R.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITCS.2018.56}, URN = {urn:nbn:de:0030-drops-83436}, doi = {10.4230/LIPIcs.ITCS.2018.56}, annote = {Keywords: Homology, Stanley-Reisner, Cellular resolution, VC dimension, Homological Farkas} }