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On almost compact and nearly compact spaces
Rendiconti del Circolo Matematico di Palermo, 1975A characterization of almost (resp. nearly) compact spaces and the product theorem for nearly compact spaces are obtained by means of the ϕ (resp. δ) convergence of filters.
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Compact groups on compact projective planes
Geometriae Dedicata, 1995A compact, connected projective plane \({\mathcal P}\) has a point set \(P\) of covering dimension \(\dim P = 2 \ell |16\) (if \(\dim P < \infty\) [cf. the ref. et al., Compact projective planes, Berlin: de Gruyter (1995) (abbreviated by CPP for further citation in this review), Section 54.11]. The automorphism group \(\Sigma\) of \({\mathcal P}\) is a
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Compactness and Weak Compactness in Spaces of Compact-Range Vector Measures
Canadian Journal of Mathematics, 1984This paper features strong and weak compactness in spaces of vector measures with relatively compact ranges in Banach spaces. Its tools are the measure-operator identification of [16] and [24] and the description of strong and weak compactness in spaces of compact operators in [10], [11], and [29].Given a Banach space X and an algebra of sets, it is ...
William H. Graves, Wolfgang M. Ruess
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De-compacting the Global Compact [PDF]
Philadelphia, Thomas Donaldson
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1985
INTRODUCTION In this paper, separation axioms are not assumed without explicit mention; thus ‘compact’ means ‘quasi-compact’ in the sense of Bourbaki (every open cover has a finite subcover). Non-Hausdorff compact spaces arise, for example, in algebraic geometry (via the Zariski topology). In the summer of 1980, S. Eilenberg raised (orally) a question
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INTRODUCTION In this paper, separation axioms are not assumed without explicit mention; thus ‘compact’ means ‘quasi-compact’ in the sense of Bourbaki (every open cover has a finite subcover). Non-Hausdorff compact spaces arise, for example, in algebraic geometry (via the Zariski topology). In the summer of 1980, S. Eilenberg raised (orally) a question
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Functional Compactness and C-Compactness
Journal of the London Mathematical Society, 1974Teck-Cheong Lim, Kok-Keong Tan
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Compaction - A Soliton with Compact Support
1994Compacton is a soliton with a compact support. Nonlinear dispersion plays a crucial role in its formation The simplest model to see nonlinear dispersion, in action is given by a KdV-like equation, the K(m, n); u t + (u m ) x + (u n ) xxx = 0, m, n > 1. The compactons are solitary wave solutions of these equations.
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Controllability for a class of second-order evolution differential inclusions without compactness
, 2019V. Vijayakumar, R. Murugesu
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