Results 11 to 20 of about 908,196 (265)
Essential maps and manifolds [PDF]
Let ( M , ∂ M ) (M,\partial M) be a compact n n -manifold with boundary, orientable over a field K K with characteristic q q . For f : ( Y , ∂ Y ) → ( M ,
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Essentially spectrally bounded linear maps [PDF]
Let \(H\) be an infinite-dimensional complex Hilbert space. Denote by \({\mathcal L}(H)\) the algebra of all bounded linear operators on \(H\), by \({\mathcal K}(H)\) the ideal of compact operators, and by \({\mathcal C}(H)\) the Calkin algebra. Let \(\pi:{\mathcal L}(H)\to {\mathcal C}(H)\) be the quotient map and let \(r_e(T)\) denote the essential ...
Bendaoud, M., Bourhim, A.
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Fixed point theory on extension-type spaces and essential maps on topological spaces
We present several new fixed point results for admissible self-maps in extension-type spaces. We also discuss a continuation-type theorem for maps between topological spaces.
Donal O'Regan
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The Topological Transversality Theorem for Multivalued Maps with Continuous Selections
This paper considers a topological transversality theorem for multivalued maps with continuous, compact selections. Basically, this says, if we have two maps F and G with continuous compact selections and F ≅ G, then one map being essential ...
Donal O’Regan
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Essential singularities of quasimeromorphic mappings.
Suppose that \(f:\mathbb{B}^ n-\{0\} \to S^ n\) is a quasi-meromorphic mapping, where \(B^ n\) is the open unit ball in euclidean \(n\)-space and \(S^ n\) the unit sphere in euclidean \((n+1)\)-space. If 0 is an essential singularity then in every deleted neighbourhood of 0 there is an essential round sphere on which \(f\) assumes antipodal values ...
Martin, G.J., Gauld, D.B.
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On Polynomials Counting Essentially Irreducible Maps
We consider maps on genus-$g$ surfaces with $n$ (labeled) faces of prescribed even degrees. It is known since work of Norbury that, if one disallows vertices of degree one, the enumeration of such maps is related to the counting of lattice point in the moduli space of genus-$g$ curves with $n$ labeled points and is given by a symmetric polynomial $N_{g,
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Knowledge maps: An essential technique for conceptualisation [PDF]
The process of conceptualisation is a fundamental problem-solving activity and, hence, is an essential activity for solving the problem of software systems construction. This paper first analyses the process of conceptualisation generally, that is, not as applied specifically to software systems, and establishes a general-purpose conceptualisation ...
Gómez-Pérez, A. +3 more
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How 2.5D Maps Design Improve the Wayfinding Performance and Spatial Ability of Map Users
Useful information can be provided by 2.5D maps that can take advantage of the additional dimension. However, aside from stereoscopic landmarks, optimal methods for presenting other essential information is unclear.
Meng-Cong Zheng, Yi-Wen Hsu
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Some General Theorems for Compact Acyclic Multifunctions
We present general Leray-Schauder type theorems for compact acyclic Multifunctions, using the topological transversality theorem by the author.
Donal O’Regan
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On ω-essential mappings onto manifolds [PDF]
Essential mappings have played an important role in homotopy theory as well as in continua theory. A mapping \(f: X\to M\) from a compactum into a manifold is said to be essential provided every admissible deformation of \(f\) is surjective, while a mapping \(f: X\to M\) is said to be \(\omega\)- essential provided that \(f\times \hbox{id}_ k: X\times ...
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