منابع مشابه
Exactly 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 کاملTree-like Decompositions and Conformal Maps
Any simply connected rectifiable domain Ω can be decomposed into uniformly chord-arc subdomains using only crosscuts of the domain. We show that such a decomposition allows one to construct a map from Ω to the disk which is close to conformal in a uniformly quasiconformal sense. This answers a question of Stephen Vavasis. 1991 Mathematics Subject Classification. Primary: 30C35 Secondary: 30C30,...
متن کاملOpen Maps between Knaster Continua
We i n vestigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms w h i c h are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps ...
متن کاملHomotopy Classes of Maps between Knaster Continua
For each positive integer n, let gn : I → I be defined by the formula gn (t) = v (nt). Observe that gn stretches n times and then folds the resulting interval [0, n] onto [0, 1]. The map g2 is the very well known “roof-top” map. For any two positive integers m and n, gm ◦ gn = gmn. Consequently, gn and gm commute (see, for example, [8, Proposition 2.2]). Let N = {n1, n2, . . . } be a sequence o...
متن کاملHemicrania continua responds to cyclooxygenase-2 inhibitors.
BACKGROUND Hemicrania continua is a primary headache disorder defined by its absolute responsiveness to indomethacin. We report the treatment response to two cyclooxygenase-2 inhibitors, celecoxib and rofecoxib, in a series of patients with hemicrania continua. METHODS Fourteen patients were treated, 9 with rofecoxib and 5 with celecoxib. RESULTS Three patients in each group had a complete ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2003
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-03-06989-2