Results 11 to 20 of about 1,901,618 (330)
Knowledge maps: An essential technique for conceptualisation [PDF]
Data & Knowledge Engineering, 2000 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
A. Gómez +3 more
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Essential and inessential maps and continuation theorems
Applied Mathematics Letters, 2000 In the present paper the notion of essential map [\textit{A. Granas}, C. R. Acad. Sci. Paris, Sér. A 282, 983-985 (1976; Zbl 0348.47039)] is extended to a larger class of maps. For this new notion it is proved that if \(0\) is essential and \(0\cong F\), then \(F\) is essential.
Ravi P. Agarwal, 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, Donal O’Regan
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Essentiality for Mönch type maps [PDF]
Proceedings of the American Mathematical Society, 2000 A new fixed point theorem for Mönch maps on locally convex spaces is given. In addition, a continuation theorem for Mönch maps is presented.
Ravi P. Agarwal, Donal O’Regan
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Essential maps and coincidence principles for general classes of maps
Filomat, 2017 We introduce the notion of an essential map for a general class of maps. In addition we present homotopy and normalization type properties for these maps.
Donal O’Regan
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Essential mappings and transfinite dimension [PDF]
Fundamenta Mathematicae, 1985 If \(\alpha\) is a countable ordinal, \(J^{\alpha}\) is \textit{D. W. Henderson}'s \(\alpha\)-dimensional absolute retract [ibid. 63, 167-173 (1968; Zbl 0167.513)] and Ind \(X\geq \alpha\), is there an essential \(f: X\to J^{\alpha}?\) The authors answer this question in the affirmative if \(\alpha =\omega\) and X is normal and in the negative if ...
P. Borst, Jan J. Dijkstra
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A bijection for essentially 3-connected toroidal maps [PDF]
European Journal of Combinatorics, 2021 We present a bijection for toroidal maps that are essentially $3$-connected ($3$-connected in the periodic planar representation). Our construction actually proceeds on certain closely related bipartite toroidal maps with all faces of degree $4$ except for a hexagonal root-face.
Bonichon, Nicolas +2 more
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Essential maps and manifolds [PDF]
Proceedings of the American Mathematical Society, 1992 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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Spectral mapping theorems for essential spectra [PDF]
Mathematische Annalen, 1971 Definition 1. An open semioroup ~ of ~3 will be called an F-semigroup/f (i) a, b ~ ~3 and ab = ba E ~ imply a ~ ~ and b ~ ~, and (ii) there exists a closed ideal R such that ~ = q-1 (S), where S is an open semigroup in ~B/R containin 9 G and havin 9 the property that S\G is also open. It is clear that ~ contains the invertible elements of ~B, and that ~
GRAMSCH, Bernhard, LAY, David
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The Topological Transversality Theorem for Multivalued Maps with Continuous Selections
Mathematics, 2019 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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