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Continuation principles and d-essential maps
Mathematical and Computer Modelling, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D O'Regan
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Essential extension type maps for general classes of maps
Applied Mathematics and Computation, 2010Essentiality of admissible (or permissible) multivalued maps in completely regular topological spaces is studied. This complete regularity enables to use the Urysohn function technique. For instance, if \(B=\{x\in \overline{U} : x\in H_t(x) \text{ for some } t\in [0,1]\}\), where \(H\) is an admissible compact homotopy without fixed points on the ...
Donal O’Regan
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Multivalued essential maps of approximable and acyclic type
Applied Mathematics Letters, 2000 The authors consider multivalued approximable and multivalued acyclic maps. They prove that maps homotopic to an essential map in the class have the fixpoint property.
R P Agarwal
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Essential genes on metabolic maps
Current Opinion in Biotechnology, 2006Within the past five years genome-scale gene essentiality data sets have been published for ten diverse bacterial species. These data are a rich source of information about cellular networks that we are only beginning to explore. The analysis of these data, very heterogeneous in nature, is a challenging task. Even the definition of 'essential genes' in
Svetlana, Gerdes +5 more
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Essential maps and coincidence theory
Applicable Analysis, 2016Using an elementary approach, we present new coincidence principles for general classes of maps.
Mohamed Jleli +2 more
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Essentials of the self-organizing map
Neural Networks, 2013The self-organizing map (SOM) is an automatic data-analysis method. It is widely applied to clustering problems and data exploration in industry, finance, natural sciences, and linguistics. The most extensive applications, exemplified in this paper, can be found in the management of massive textual databases and in bioinformatics. The SOM is related to
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Stably Essential Mappings onto Disks
Acta Mathematica Hungarica, 1998From the authors abstract: ``Let \(f\) be an essential mapping from a compact metric space \(X\) onto the \(n\)-dimensional disk \(D^n\) and let \(n \leq 2\) or \(\dim X < 2n - 2\). It is known that \(f\) is stably essential, i.e. the product mapping \(f \times id_{I^k}\) of \(f\) and the identity mapping \(id_{I^k}\) on the \(k\)-dimensional cube \(I ...
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Essential Equivariant Maps and Borsuk-Ulam Theorems
Journal of the London Mathematical Society, 2000Let \(G\) be a compact Lie group, \(X\) be a \(G\)-space and \(f:X\to X\) be self \(G\)-map. In this interesting paper the authors deal with the following two basic questions: (1) For which groups \(G\) is every self \(G\)-map essential? (2) For which \(G\)-spaces is every self \(G\)-map essential?
Clapp, Mónica, Marzantowicz, Wacław
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Connected Maps and Essentially Connected Spaces
Canadian Mathematical Bulletin, 1985AbstractThe paper discusses some consequences of weak monotonicity for connected maps in relation to essential connectedness of a space. The first main result gives conditions under which the image by a connected map of an essentially connected space is essentially connected. The second is that, for a connected mapping of a connected, 1 .c.
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Mapping search terms to review goals is essential
BMJ Quality & Safety, 2015Patient participation can be seen as an end in and of itself, and it can be seen as a way to foster further goals like quality and safety in healthcare, adherence and cost-effectiveness. Wide-scale implementation of interventions to increase patient participation without having confidence in its measures means being unable to determine if ...
Friedemann, Geiger +4 more
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