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Seismology of stars that exhibit solar-like oscillations develops a growing interest with the wealth of observational results obtained with the CoRoT and Kepler space-borne missions. In this framework, relations between asteroseismic…

Solar and Stellar Astrophysics · Physics 2012-10-15 K. Belkacem

The current photometric datasets, that span decades, allow for studying long-term cycles on active stars. Complementary Ca H&K observations give information also on the cycles of normal solar-like stars, which have significantly smaller,…

Solar and Stellar Astrophysics · Physics 2015-11-20 Heidi Korhonen

Asteroseismology provides us with a unique opportunity to improve our understanding of stellar structure and evolution. Recent developments, including the first systematic studies of solar-like pulsators, have boosted the impact of this…

Astronomy is in an era where all-sky surveys are mapping the Galaxy. The plethora of photometric, spectroscopic, asteroseismic and astrometric data allows us to characterise the comprising stars in detail. Here we quantify to what extent…

Solar and Stellar Astrophysics · Physics 2017-05-03 George C. Angelou , Earl P. Bellinger , Saskia Hekker , Sarbani Basu

In recent years, it has been shown that some classical inequalities follow from a local stochastic dominance for naturally associated random polytopes. We strengthen planar isoperimetric inequalities by attaching a stochastic model to some…

Functional Analysis · Mathematics 2021-09-27 Jesus Rebollo Bueno

Eclipses and pulsations are the two primary ways in which the physical properties of stars can be deduced and used to improve our understanding of stellar theory. An obvious idea is to combine these two analyses into the study of pulsating…

Solar and Stellar Astrophysics · Physics 2025-01-29 John Southworth

In this article we prove three main theorems: (1) guessing models are internally unbounded, (2) for any regular cardinal $\kappa \ge \omega_2$, $\textsf{ISP}(\kappa)$ implies that $\textsf{SCH}$ holds above $\kappa$, and (3) forcing posets…

Logic · Mathematics 2019-07-23 John Krueger

We intend to localize the selection principles in uniform spaces (Ko\v{c}inac, 2003) by introducing their local variations, namely locally $\Upsilon$-bounded spaces (where $\Upsilon$ is Menger, Hurewicz or Rothberger). It has been observed…

General Topology · Mathematics 2023-05-26 Nur Alam , Debraj Chandra

Asteroseismology has the capability of delivering stellar properties which would otherwise be inaccessible, such as radii, masses and thus ages of stars. When coupling this information with classical determinations of stellar parameters,…

Solar and Stellar Astrophysics · Physics 2015-06-22 Luca Casagrande

Recently the number of main-sequence and subgiant stars exhibiting solar-like oscillations that are resolved into individual mode frequencies has increased dramatically. While only a few such data sets were available for detailed modeling…

In this note we study the open-point topological games in order to analyze the least upper bound for density of dense subsets of a topological space. This way we may also analyze the behavior of such cardinal invariants in taking products…

General Topology · Mathematics 2015-09-08 Jarno Talponen

In this paper, the author represent a unification and extension of concepts previously studied by several authors. By establish connections between the chain condition, selectively star-ccc properties and star-Lindel\"of properties, the…

General Topology · Mathematics 2023-12-05 Yuan Sun

We discuss prospects for asteroseismic inference on solar-type stars, in particular opportunities that are being made possible by the large ensemble of exquisite-quality Kepler data.

Solar and Stellar Astrophysics · Physics 2011-09-29 William J. Chaplin

We present an analogy between cardinal characteristics from set theory and highness properties from computability theory, which specify a sense in which a Turing oracle is computationally strong. While this analogy was first studied…

Logic · Mathematics 2014-09-26 Jörg Brendle , Andrew Brooke-Taylor , Keng Meng Ng , André Nies

We review some major open issues in the current modelling of low and intermediate mass, main sequence stars based on seismological studies. The solar case was discussed in a companion paper, here several issues specific to other stars than…

Solar and Stellar Astrophysics · Physics 2015-05-27 M. J. Goupil , Y. Lebreton , J. P. Marques , S. Deheuvels , O. Benomar , J. Provost

The unparalleled photometric data obtained by NASA's Kepler Space Telescope has led to improved understanding of red-giant stars and binary stars. We discuss the characterization of known eccentric system, containing a solar-like…

Solar and Stellar Astrophysics · Physics 2015-11-23 P. G. Beck , K. Hambleton , J. Vos , T. Kallinger , R. A. Garcia , S. Mathur , K. Houmani

We investigate star-covering properties of $\Psi$-like spaces. We show star-Lindel\"ofness is reflected by open perfect mappings. In addition, we offer a new equivalence of CH.

General Topology · Mathematics 2011-03-30 L. P. Aiken

Arhangelskii's properties $\alpha_2$ and $\alpha_4$ defined for convergent sequences may be characterized in terms of Scheeper's selection principles. We generalize these results to hold for more general collections and consider these…

General Topology · Mathematics 2019-11-11 Steven Clontz

A recent analysis of high precision photometry obtained using the Kepler spacecraft has revealed two surprising discoveries: (1) over 860 main sequence A-type stars -- approximately 40% of those identified in the Kepler field -- exhibit…

Solar and Stellar Astrophysics · Physics 2017-12-11 James Sikora , Gregg A. Wade , Jason Rowe

In this manuscript, we study the behavior of charged isotropic compact stellar objects within the framework of the modified Gauss-Bonnety theory of gravity by considering the Tolman Kuchowicz spacetime. We use some matching conditions of…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Adnan Malik