Results 11 to 20 of about 338 (140)
On the Hausdorff Measure of Rn with the Euclidean Topology [PDF]
, 2023 In this paper, we answer a question raised by David H. Fremlin about the Hausdorff measure of R2 with respect to a distance inducing the Euclidean topology. In particular we prove that the Hausdorff n-dimensional measure of Rn is never 0 when considering
Bagnara, Marco +3 more
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Results about S2-paracompactness [PDF]
, 2022 [EN] We present new results regarding S2-paracompactness, that we estab-lished in [1], and its relation with other properties such as S-normality, epinormality and L-paracompactness.Alghamdi, O.; Kalantan, L. (2022).
Alghamdi, Ohud, Kalantan, Lutfi
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Training AI to Recognize Realizable Gauss Diagrams: The Same Instances Confound AI and Human Mathematicians [PDF]
, 2022 Recent research in computational topology found sets of counterexamples demonstrating that several recent mathematical articles purporting to describe a mathematical concept of realizable Gauss diagrams contain a mistake. In this study we propose several
Vernitski, A +8 more
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Computational Topology Counterexamples with 3D Visualization of Bézier Curves [PDF]
, 2012 For applications in computing, Bézier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R3 and yields a smooth polynomial curve C embedded in R3. It is of interest to understand when L and C have the same embeddings.
J. Li +10 more
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A neglected resolution of Russell's paradox of propositions [PDF]
, 2015 Bertrand Russell offered an influential paradox of propositions in Appendix B of "The Principles of Mathematics", but there is little agreement as to what to conclude from it.
GABRIEL UZQUIANO, Uzquiano, Gabriel
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, 1978 Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Over 25 Venn diagrams and charts summarize properties of the examples, while discussions of general methods of construction ...
Steen, Lynn Arthur +3 more
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Some counterexamples and properties on generalizations of Lindelöf spaces [PDF]
, 1996 In this paper we give some significative counterexamples to prove that some well known generalizations of Lindelöf property are proper. Also we give some new results, we introduce and study the almost regular-Lindelof spaces as a generalization of the
Filippo Cammaroto +2 more
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Hermitian and Non-Hermitian Topology from Photon-Mediated Interactions
, 2023 Light can mediate effective dipole-dipole interactions between atoms or quantum emitters coupled to a common environment. Exploiting them to tailor a desired effective Hamiltonian can have major applications and advance the search for many-body phases ...
Francesco Ciccarello (14407794) +6 more
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The common division topology on $\mathbb{N}$
, 2022 summary:A topological space $X$ is totally Brown if for each $n \in \mathbb{N} \setminus \{1\}$ and every nonempty open subsets $U_1,U_2,\ldots,U_n$ of $X$ we have ${\rm cl}_X(U_1) \cap {\rm cl}_X(U_2) \cap \cdots \cap{\rm cl}_X(U_n) \ne \emptyset ...
Alberto-Domínguez, José del Carmen +2 more
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The fundamental theorem of asset pricing with and without transaction costs
Mathematical Finance, Volume 35, Issue 2, Page 567-609, April 2025.Abstract We prove a version of the fundamental theorem of asset pricing (FTAP) in continuous time that is based on the strict no‐arbitrage condition and that is applicable to both frictionless markets and markets with proportional transaction costs. We consider a market with a single risky asset whose ask price process is higher than or equal to its ...
Christoph Kühn
wiley +1 more source