Zobrazeno 1 - 10
of 16
pro vyhledávání: '"T. Christine Stevens"'
Publikováno v:
Axioms, Vol 13, Iss 4, p 266 (2024)
We are honoured to present this Special Issue of Axioms with the title “Topology and Functional Analysis” to showcase recent work on this and related topics and to provide an opportunity for María Jesús Chasco’s friends and colleagues to pay
Externí odkaz:
https://doaj.org/article/f14627e2e2664f049dd2fd62758a84d9
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 113:2145-2154
We introduce the notion of local pseudo-homomorphism between two topological abelian groups. We prove that it is closely related with the widely studied notions of local cross sections and splitting extensions in the category of topological abelian g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d791d5f00b4dc829173ab735dc0876e7
https://doi.org/10.1007/s13398-018-0599-4
https://doi.org/10.1007/s13398-018-0599-4
Publikováno v:
Topology and its Applications. 192:169-175
We study the completeness properties of several different group topologies for the additive group of real numbers, and we also compute the corresponding dual groups. We first present two metrizable connected group topologies on R with topologically i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::538186ff9e5431525cce319c172d09a9
https://doi.org/10.1016/j.topol.2015.05.079
https://doi.org/10.1016/j.topol.2015.05.079
Autor:
Leslie Hogben, T. Christine Stevens
Publikováno v:
Notices of the American Mathematical Society. 66:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::83ed0d4064da0f261f216b6308f6d663
https://doi.org/10.1090/noti1913
https://doi.org/10.1090/noti1913
Autor:
T. Christine Stevens
Publikováno v:
Topology and its Applications. 159:2528-2534
Metrizable group topologies for R n that are weaker than the usual topology arise in many contexts, including the study of minimal groups or of Lie groups of transformations. In this paper we study translation-invariant metrics that are defined by ch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::886ecf35a21a3e935eed1e967898a745
https://doi.org/10.1016/j.topol.2011.07.033
https://doi.org/10.1016/j.topol.2011.07.033
Autor:
Jon W Short, T. Christine Stevens
Publikováno v:
Topology and its Applications. 135(1-3):47-61
Weakened Lie groups are Lie groups with a Hausdorff topology that is weaker than the Lie topology. We show that a large class of weakened Lie groups are locally isometric. If the weakened groups are not complete (and they usually are not), then the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3edad23b16f06c88710b3e6db87057e6
Autor:
T. Christine Stevens
Publikováno v:
Annals of the New York Academy of Sciences. 728:284-289
We prove that, for every integer n≥ 2, there is a metrizable group topology Un for the additive group Rn such that Un is strictly weaker than the usual topology but every straight line in Rn inherits the usual topology from Un. The topology Un is i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22de61c760a519639d06a1fb2f8f6d95
https://doi.org/10.1111/j.1749-6632.1994.tb44153.x
https://doi.org/10.1111/j.1749-6632.1994.tb44153.x
Autor:
T. Christine Stevens
Publikováno v:
Proceedings of the American Mathematical Society. 119:291-297
Let ( G , G ) (G,\mathcal {G}) be a topological group with dense subgroup L L , and suppose that L L is an analytic group in a topology τ \tau that is stronger than the topology that L L inherits from G \mathcal {G} . It is known that L L contains a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fea57934599387d81a366a9d4b3b2ac
https://doi.org/10.1090/s0002-9939-1993-1123667-8
https://doi.org/10.1090/s0002-9939-1993-1123667-8
Autor:
Eric M. Friedlander, Tara S. Holm, John Ewing, Rebecca Goldin, William H. Jaco, T. Christine Stevens, Abigail Thompson, David Vogan
Publikováno v:
Notices of the American Mathematical Society. 59:1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a4df84165c4ee95318d210aac1e67cb
https://doi.org/10.1090/noti902
https://doi.org/10.1090/noti902
Autor:
T. Christine Stevens
Publikováno v:
Transactions of the American Mathematical Society. 276:541-549
With any topological group ( G , U ) (G, \mathcal {U}) one can associate a locally arcwise-connected group ( G , U ∗ ) (G, {\mathcal {U}}^{\ast }) , where U ∗ {\mathcal {U}}^{\ast } is stronger than U \mathcal {U} . ( G , U ) (G, \mathcal {U}) is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5525e8f474f4b5b5e6369c9d1960e608
https://doi.org/10.1090/s0002-9947-1983-0688961-1
https://doi.org/10.1090/s0002-9947-1983-0688961-1