Multidimensional Topological Measure Spaces and Their Applications in Decision-Making Problems
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure.
Jomal Josen, Sunil Jacob John, T. Baiju
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WDVV‐based recursion for open Gromov–Witten invariants
Abstract We give a computability result for open Gromov–Witten invariants based on open Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations. This is analogous to the result of Kontsevich–Manin for closed Gromov–Witten invariants. For greater generality, we base the argument on a formal object, the Frobenius superpotential, that generalizes several ...
Roi Blumberg, Sara B. Tukachinsky
wiley +1 more source
Topologies on the set of all subspaces of a banach space and related questions of banach space geometry [PDF]
Mikhail I. Ostrovskii
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Topological Transitions in a Kerr Nonlinear Oscillator
A Kerr nonlinear oscillator (KNO) supports a pair of steady eigenstates, coherent states with opposite phases, that are good for the encoding of continuous variable qubit basis states.
Juan Lin +3 more
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Locally convex metrizable topologies which make a given vector subspace dense [PDF]
Shouro Kasahara
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On subspaces of spaces $$C_p(X)$$ isomorphic to spaces $$c_{0}$$ and $$\ell _{q}$$ with the topology induced from $$\mathbb {R}^{\mathbb {N}}$$ [PDF]
Jerzy Ka̧kol +2 more
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Entropy rigidity for cusped Hitchin representations
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
wiley +1 more source
Reflecting topological properties in closed separable subspaces
Abstract We establish that, for any metrizable space X, if every closed separable subspace of X has the Baire property, then the space X has the Baire property. The same reflection result holds for spaces $$C_p(X)$$ C
Dow, Alan, Tkachuk, Vladimir V.
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Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
The idea of electric-drive-reconstructed onboard charger (EDROC) systems, along with the concept of dual-channel charging, offers a novel design, thought to enhance the integration and fault tolerance of the charging system of electric vehicles (EVs ...
Xunhui Cheng, Feng Yu, Linhao Qiu
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