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Pseudocompact $$\varDelta $$-spaces are often scattered
Monatshefte für Mathematik, 2021The following definition was given in [\textit{J. Kąkol} and \textit{A. Leiderman}, Proc. Am. Math. Soc., Ser. B 8, 86--99 (2021; Zbl 1473.54018)]: A space \(X\) is a \(\Delta\)-\emph{space} if for any decreasing sequence \(\mathcal{S}=\{X_n:n\in\omega\}\) of subsets of \(X\) with empty intersection, there exists a sequence \(\{U_n:n\in\omega\}\) of ...
A. Leiderman, V. V. Tkachuk
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2008
Problems involving curvilinear coordinates and accelerating reference frames can be treated using powerful methods applicable to Maxwell's equations in curved space. A method developed by Cohen and Kegeles reduces the curved-space problem to that of solving a single complex linear scalar wave equation.
Jeffrey M. Cohen +2 more
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Problems involving curvilinear coordinates and accelerating reference frames can be treated using powerful methods applicable to Maxwell's equations in curved space. A method developed by Cohen and Kegeles reduces the curved-space problem to that of solving a single complex linear scalar wave equation.
Jeffrey M. Cohen +2 more
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Scattered spaces not having scattered compactifications
Mathematical Notes of the Academy of Sciences of the USSR, 1978Some examples of scattered spaces not having scattered compactifications are given, which solves a problem of Semadeni. Thus, let S be any extremally disconnected dense-in-itself subspace of βN/N. Then for every point ξ∈S the subspacen ∪{ξ} does not have any scattered compactification.
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Scattered Spaces and the Class Mobi
Proceedings of the American Mathematical Society, 1989We show that every regular scattered space with a point-countable base is an open and compact image of a scattered metacompact Moore space and, consequently, is an element of the minimal class of regular spaces containing all the scattered metric spaces and invariant under open and compact mappings.
Bennett, H. R., Chaber, J.
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Space-time approach to holonomy scattering
Physical Review Letters, 1990Summary: A general concept of holonomy scattering is defined. It applies, among other things, to imply a nontrivial (generally, inelastic) scattering amplitude for the scattering of pure flux tubes off one another, when these fluxes are non-Abelian and do not commute.
Wilczek, Frank, Wu, Yong-Shi
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Selectors and scattered spaces
2001The paper develops the research area initiated in [\textit{R. Engelking}, \textit{R. W. Heath}, and \textit{E. Michael}, Invent. Math. 6, 150-158 (1968; Zbl 0167.20504)]. Let \(X\) be a non-Archimedean space in which every countable subset is closed.
ARTICO, GIULIANO +3 more
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Polarization Symmetric Scatterer Metric Space
IEEE Transactions on Geoscience and Remote Sensing, 2009The coherent polarization scattering matrix decomposition presented in Cameron et al. brought attention to the importance of Symmetric Scatterer Space, the space of scattering matrices corresponding to symmetric scatterers. Each symmetric scatterer scattering matrix can be associated with a complex number z, the scatterer-type parameter, where |z| les ...
William L. Cameron, Houra Rais
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State Spaces in Scattering Theory
Physical Review, 1957Earlier work on the definition of state spaces for a particle in quantum-mechanical theory is extended to the case of scattering in a Coulomb field. The existence of the Fock-Bargmann symmetry group for this field leads to separability of the Schr\"odinger equation in parabolic coordinates, which in turn allows one to define the parabolic-wave state ...
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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