Zobrazeno 1 - 10
of 228
pro vyhledávání: '"David Farley"'
Autor:
Jonathan David Farley
Publikováno v:
Mathematica Bohemica, Vol 148, Iss 4, Pp 435-446 (2023)
Duffus wrote in his 1978 Ph.D. thesis, "It is not obvious that $P$ is connected and $P^P\cong Q^Q$ imply that $Q$ is connected", where $P$ and $Q$ are finite nonempty posets. We show that, indeed, under these hypotheses $Q$ is connected and $P\cong Q
Externí odkaz:
https://doaj.org/article/6e8a5dd7f1e44a7f9d0b4f005a874e3d
Autor:
Jonathan David Farley
Publikováno v:
Mathematica Pannonica. :8-16
Problem 2 of Welsh’s 1976 text Matroid Theory, asking for criteria telling when two families of sets have a common transversal, is solved.Another unsolved problem in the text Matroid Theory, on whether the “join” of two non-decreasing submodula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e5f1b7c9f76f7ace2cbeb5651c91f97
https://doi.org/10.1556/314.2022.00023
https://doi.org/10.1556/314.2022.00023
Autor:
Jonathan David Farley
Publikováno v:
Mathematica Bohemica. :1-12
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce632503e95c7a433f35bd1e8902f117
https://doi.org/10.21136/mb.2022.0010-22
https://doi.org/10.21136/mb.2022.0010-22
Autor:
Jonathan David Farley
Publikováno v:
Mathematica Pannonica. :69-75
Proctor and Scoppetta conjectured that (1) there exists an infinite locally finite poset that satisfies their conditions VT and NTC but not SIS; (2) there exists an infinite locally finite poset satisfying their conditions D3-C and D3MF but not both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5650d1ebdbb4e551b17916ab2e571975
https://doi.org/10.1556/314.2022.00009
https://doi.org/10.1556/314.2022.00009
Autor:
Jonathan David Farley
Publikováno v:
Order. 39:243-250
Let A, P, and Q ≠ ∅ be posets and consider Professor Garrett Birkhoff’s exponentiation operator PQ. McKenzie defined a new operator $$ \mathcal C\left( P^{Q}\right):=\{f\in P^{Q}\mid f\ \text{is in the same connected component as some}\ g $$ $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f8d19c5dcf1d08538b45b6a0df7b57c
https://doi.org/10.1007/s11083-021-09564-5
https://doi.org/10.1007/s11083-021-09564-5
Autor:
David Farley-Hills
David Farley-Hills argues that Shakespeare did not work in splendid isolation, but responded as any other playwright to the commercial and artistic pressures of his time. In this book he offers an interpretation of seven of Shakespeare's plays in the
Autor:
Jonathan David Farley
Publikováno v:
Mathematica Pannonica.
Let k ≥ 1. A Sperner k-family is a maximum-sized subset of a finite poset that contains no chain with k + 1 elements. In 1976 Greene and Kleitman defined a lattice-ordering on the set Sk(P) of Sperner k-families of a fifinite poset P and posed the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::96f9929643e4da55fc592a8c0c4c7312
https://doi.org/10.1556/314.2021.00010
https://doi.org/10.1556/314.2021.00010