Results 1 to 10 of about 97,144 (227)

k-spaces of non-domain-valued geometric points [PDF]

Applied General Topology, 2023
The aim of this paper is to study the topological properties of algebraic sets with zero divisors. We impose a subbasic topology on the set of proper ideals of a k-algebra and this new “k-space” becomes a generalization of the corresponding Zariski space.
A. Goswami
semanticscholar   +1 more source

Random Lift of Set Valued Maps and Applications to Multiagent Dynamics

Set-Valued and Variational Analysis, 2023
We introduce an abstract framework for the study of general mean field games and mean field control problems. Given a multiagent system, its macroscopic description is provided by a time-depending probability measure, where at every instant of time the ...
R. Capuani, A. Marigonda, M. Ricciardi
semanticscholar   +1 more source

Uniformizable and realcompact bornological universes [PDF]

, 2009
Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory.
Vroegrijk, Tom
core   +6 more sources

Cylindrical Wigner measures [PDF]

, 2018
In this paper we study the semiclassical behavior of quantum states acting on the C*-algebra of canonical commutation relations, from a general perspective.
Falconi, Marco
core   +2 more sources

An improved dense class in Sobolev spaces to manifolds [PDF]

Journal of Functional Analysis
We consider the strong density problem in the Sobolev space $ W^{s,p}(Q^{m};\mathscr{N}) $ of maps with values into a compact Riemannian manifold $ \mathscr{N} $.
Antoine Detaille
semanticscholar   +1 more source

Formal Groups and Hopf Algebras over Discrete Rings [PDF]

, 1974
A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Morris, R. A., Pareigis, Bodo
core   +1 more source

Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds [PDF]

, 2007
We study Lie group structures on groups of the form C^\infty(M,K)}, where M is a non-compact smooth manifold and K is a, possibly infinite-dimensional, Lie group. First we prove that there is at most one Lie group structure with Lie algebra C^\infty(M,k)
Chr. Wockel, E.J. Beggs, Friedrich Wagemann, G. Hochschild, H. Glockner, H. Glockner, H. Glockner, H. Glockner, H. Grauert, I. Raeburn, J. Milnor, J. Milnor, Karl-Hermann Neeb, L. Fuchs, M. Schlichenmaier, P. Michor, P.A. Smith, P.W. Michor, R. Hamilton, R. Palais, S.J. Sidney   +20 more
core   +4 more sources

Chaos for induced hyperspace maps

, 2005
For (X, d) be a metric space, f : X → X a continuous map and ( K ( X ) , H ) the space of non-empty compact subsets of X with the Hausdorff metric, one may study the dynamical properties of the induced map (∗) f ¯ : K ( X ) → K ( X ) : A ↦ f ( A ) .
J. Banks
semanticscholar   +1 more source

Non-archimedean tame topology and stably dominated types [PDF]

, 2016
Let $V$ be a quasi-projective algebraic variety over a non-archimedean valued field. We introduce topological methods into the model theory of valued fields, define an analogue $\hat {V}$ of the Berkovich analytification $V^{an}$ of $V$, and deduce ...
Hrushovski, E., Loeser, F.
core   +2 more sources

Continuous selections of multivalued mappings

, 2014
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012.
A. Askoy, A. Brown, A. Fryszkowski, A. Karassev, A. Kisielewicz, A. L. Brown, A. Smajdor, B. Alleche, Ch. Horvath, Ch. Horvath, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. Livshits, E. Shchepin, E. Tymchatyn, F. Blasi, F. Blasi, F. Blasi, F. Deutsch, F. Levy, G. Ivanov, G. Ivanov, G. Mägerl, H. Ben-El-Mechaiekh, H. Corson, H. Wicke, I. Blum, I. Ivanšić, I. Shishkov, I. Shishkov, I. Shishkov, I. Shishkov, J. J. Sánchez-Gabites, J. Markin, J. Markin, J. Mill, J. Vial, K. Ryutin, K. Ryutin, M. Balashov, M. Balashov, M. Balashov, M. Balashov, M. Choban, M. Choban, M. Choban, M. Khamsi, M. Vel, M. Zarichnyi, M. Zippin, N. Brodsky, N. Makala, P. Saveliev, P. Semenov, P. V. Semenov, R. Bielawski, S. Konyagin, S. Nedev, T. Banakh, T. Dobrowolski, T. Dobrowolski, T. Przymusinski, T. Yamauchi, T. Yamauchi, T. Yamauchi, T. Yamauchi, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. Gorokhovik, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Protasov, V. V. Fillipov, V. V. Fillipov, V. V. Fillipov, V. V. Uspenskii, X. Ding, X. Wu   +100 more
core   +1 more source