Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Ryan Derby-Talbot"'
Publikováno v:
Discover Education, Vol 3, Iss 1, Pp 1-13 (2024)
Abstract Empowering students and scholars to effectively address complex societal challenges frequently entails embracing unconventional pathways to foster transdisciplinary (TD) education. This empowerment is further facilitated by collaborative eff
Externí odkaz:
https://doaj.org/article/79be72c5163f4a0e8c7a842ebfeccc4e
Autor:
Marjorie Wonham, Ryan Derby-Talbot
Publikováno v:
Studies in Higher Education. 48:582-594
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08afc6eb42be33db5009258e4e3993e2
https://doi.org/10.1080/03075079.2022.2151998
https://doi.org/10.1080/03075079.2022.2151998
Autor:
Noah Coburn, Ryan Derby-Talbot
As they have done historically, innovative institutions enrich the college ecosystem, helping the higher educational industry develop flexible resilience. The chapters in this book showcase perspectives, hard-won lessons, challenges and provocative i
Publikováno v:
A Journey Through Discrete Mathematics ISBN: 9783319444789
We show that Heegaard Genus ≤ g, the problem of deciding whether a triangulated 3-manifold admits a Heegaard splitting of genus less than or equal to g, is NP-hard. The result follows from a quadratic time reduction of the NP-complete problem CNF-S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d57d554311208768e5cf1e2ae0f61933
https://doi.org/10.1007/978-3-319-44479-6_3
https://doi.org/10.1007/978-3-319-44479-6_3
Autor:
Ryan Derby-Talbot
Publikováno v:
Algebr. Geom. Topol. 9, no. 2 (2009), 811-832
We address a special case of the Stabilization Problem for Heegaard splittings, establishing an upper bound on the number of stabilizations required to make a Heegaard splitting of a Haken 3-manifold isotopic to an amalgamation along an essential sur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::817d6c89aeb690dd5ef14128a357ea23
https://doi.org/10.2140/agt.2009.9.811
https://doi.org/10.2140/agt.2009.9.811
We show that a strongly irreducible and boundary-strongly irreducible surface can be isotoped to be almost normal in a triangulated 3-manifold.
Comment: Incorporates changes suggested by referee. This version will appear in the volume "Geometry
Comment: Incorporates changes suggested by referee. This version will appear in the volume "Geometry
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23daea8fce414d6dd3335845dcf74a84
http://arxiv.org/abs/1203.4632
http://arxiv.org/abs/1203.4632
Let $M$ be a 3-manifold with torus boundary components $T_1$ and $T_2$. Let $\phi \colon T_1 \to T_2$ be a homeomorphism, $M_\phi$ the manifold obtained from $M$ by gluing $T_1$ to $T_2$ via the map $\phi$, and $T$ the image of $T_1$ in $M_\phi$. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20675e7b9798507c3aa5a4f5882a1a91
http://arxiv.org/abs/0911.5078
http://arxiv.org/abs/0911.5078
Autor:
David Bachman, Ryan Derby-Talbot
Publikováno v:
Geometry and Topology Monographs.
We survey known (and unknown) results about the behavior of Heegaard genus of 3-manifolds constructed via various gluings. The constructions we consider are (1) gluing together two 3-manifolds with incompressible boundary, (2) gluing together the bou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf21a52c2e7cbf2c6ea0267be4d97a45
https://doi.org/10.2140/gtm.2007.12.1
https://doi.org/10.2140/gtm.2007.12.1
Autor:
Ryan Derby-Talbot
Let $T$ be a separating incompressible torus in a 3-manifold $M$. Assuming that a genus $g$ Heegaard splitting $V \cup_S W$ can be positioned nicely with respect to $T$ (e.g. $V \cup_S W$ is strongly irreducible), we obtain an upper bound on the numb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41d64a6ec9555872f15475fcc4d6889b
Autor:
David Bachman, Ryan Derby-Talbot
Publikováno v:
Algebr. Geom. Topol. 6, no. 1 (2006), 351-372
We find a geometric invariant of isotopy classes of strongly irreducible Heegaard splittings of toroidal 3-manifolds. Combining this invariant with a theorem of R Weidmann, proved here in the appendix, we show that a closed, totally orientable Seifer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a6c2262208f1f25501dd374808ff06d
https://projecteuclid.org/euclid.agt/1513796516
https://projecteuclid.org/euclid.agt/1513796516