Lupton, Greg; Oprea, John; Scoville, Nicholas A. The digital Hopf construction. (English) Zbl 1514.55013 Topology Appl. 326, Article ID 108405, 19 p. (2023). Reviewer: Christopher Staecker (Fairfield) MSC: 55Q99 54A99 55R10 68R99 54H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupton, Gregory; Scoville, Nicholas A. Digital fundamental groups and edge groups of clique complexes. (English) Zbl 1508.55009 J. Appl. Comput. Topol. 6, No. 4, 529-558 (2022). Reviewer: Christopher Staecker (Fairfield) MSC: 55Q99 57M05 68U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Subdivision of maps of digital images. (English) Zbl 1487.55018 Discrete Comput. Geom. 67, No. 3, 698-742 (2022). Reviewer: Dimitrios Georgiou (Patras) MSC: 55P99 54A40 68U10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Homotopy theory in digital topology. (English) Zbl 1481.54060 Discrete Comput. Geom. 67, No. 1, 112-165 (2022). Reviewer: Ege Özgür (Izmir) MSC: 54H30 55P99 68U10 55P05 55M25 55M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Scoville, Nicholas A.; Vilches, José Antonio Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem. (English) Zbl 1444.55011 Discrete Comput. Geom. 63, No. 3, 607-623 (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55U10 55M30 57Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scoville, Nicholas A.; Swei, Willie On the Lusternik-Schnirelmann category of a simplicial map. (English) Zbl 1357.55001 Topology Appl. 216, 116-128 (2017). Reviewer: Jose Calcines (La Laguna) MSC: 55M30 55U05 55U10 06F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scoville, Nicholas A. Lusternik-Schnirelmann category and the connectivity of \(X\). (English) Zbl 1250.55001 Algebr. Geom. Topol. 12, No. 1, 435-448 (2012). Reviewer: Yuli Rudyak (Gainesville) MSC: 55M30 55P05 × Cite Format Result Cite Review PDF Full Text: DOI