. C V ] 2 0 Ju l 2 00 6 APPROXIMATION ON ARCS AND DENDRITES GOING TO INFINITY IN C n ( EXTENDED
نویسنده
چکیده
The Stone-Weierstrass approximation theorem is extended to certain unbounded sets in Cn. In particular, on a locally rectifiable arc going to infinity, each continuous function can be approximated by entire functions. AMS subject classification numbers. Primary: 32E30. Secondary: 32E25.
منابع مشابه
Abstracts of Papers Submitted for Presentation to the Society
S OF PAPERS SUBMITTED FOR PRESENTATION TO THE SOCIETY The following papers have been submitted to the Secretary and the Associate Secretaries of the Society for presentation at meetings of the Society. They are numbered serially throughout this volume. Cross-references to them in the reports of the meetings will give the number of this volume, the number of this issue, and the serial number of ...
متن کاملExactly two-to-one maps from continua onto some tree-like continua
It is known that no dendrite (Gottschalk 1947) and no hereditarily indecomposable tree-like continuum (J. Heath 1991) can be the image of a continuum under an exactly 2-to-1 (continuous) map. This paper enlarges the class of tree-like continua satisfying this property, namely to include those tree-like continua whose nondegenerate proper subcontinua are arcs. This includes all Knaster continua ...
متن کاملDendroarchitecture and lateral inhibition in thalamic barreloids.
Thalamic cells that relay vibrissa information to barrel cortex are clustered within whisker-related modules termed barreloids. Each barreloid receives input from one principal whisker and inhibitory inputs from reticular thalamic neurons with receptive fields that correspond to that same whisker. Although the proximal dendrites of relay cells are confined to their home barreloid, distal dendri...
متن کاملA Fundamentally Topological Perspective on Graph Theory
We adopt a novel topological approach for graphs, in which edges are modelled as points as opposed to arcs. The model of “classical” topologized graphs translates graph isomorphism into topological homeomorphism, so that all combinatorial concepts are expressible in purely topological language. This allows us to extrapolate concepts from finite graphs to infinite graphs equipped with a compatib...
متن کاملOn Local Connectedness of Absolute Retracts
One of the fundamental observations of theory of retracts says that any absolute retract for the class of all compacta is a locally connected continuum. However, when more restricted classes of spaces are considered, as for example hereditarily unicoherent continua, tree-like continua, dendroids, or hereditarily indecomposable continua, this is not necessarily the case (see e.g., [6, Corollarie...
متن کامل