Results 11 to 20 of about 40,305 (62)

Traces in monoidal categories [PDF]

, 2011
The main result of this paper is the construction of a trace and a trace pairing for endomorphisms satisfying suitable conditions in a monoidal category.
Stolz, Stephan, Teichner, Peter
core   +1 more source

“Varopoulos paradigm”: Mackey property versus metrizability in topological groups. [PDF]

, 2006
The class of all locally quasi-convex (lqc) abelian groups contains all locally convex vector spaces (lcs) considered as topological groups. Therefore it is natural to extend classical properties of locally convex spaces to this larger class of abelian ...
Außenhofer, L., de la Barrera Mayoral, D., Dikranjan, D., Martín Peinador, Elena   +3 more
core   +2 more sources

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael, Schmeding, Alexander   +1 more
core   +4 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Solution to the first Cousin problem for vector-valued quasianalytic functions [PDF]

, 2017
We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.Comment: 23 ...
Debrouwere, Andreas, Vindas, Jasson
core   +3 more sources

Optimal approximate fixed point results in locally convex spaces

, 2012
Let $C$ be a convex subset of a locally convex space. We provide optimal approximate fixed point results for sequentially continuous maps $f\colon C\to\bar{C}$. First we prove that if $f(C)$ is totally bounded, then it has an approximate fixed point net.
Arino, Barroso, Barroso, Barroso, C.S. Barroso, Fan, Gajek, Hadžić, Hadžić, Hazewinkel, Himmelberg, Idzik, Idzik, Klee, Knaster, Lin, M.P. Rebouças, O.F.K. Kalenda, Park, Park   +19 more
core   +1 more source

Arhangel'ski\u{\i} sheaf amalgamations in topological groups

, 2016
We consider amalgamation properties of convergent sequences in topological groups and topological vector spaces. The main result of this paper is that, for arbitrary topological groups, Nyikos's property $\alpha_{1.5}$ is equivalent to Arhangel'ski\u{\i}'
Tsaban, Boaz, Zdomskyy, Lyubomyr
core   +1 more source

GPCRs in CAR‐T Cell Immunotherapy: Expanding the Target Landscape and Enhancing Therapeutic Efficacy

Advanced Science, EarlyView.
Chimeric antigen receptor T cell therapy faces dual challenges of target scarcity and an immunosuppressive microenvironment in solid tumors. This review highlights how G protein‐coupled receptors can serve as both novel targets to expand the therapeutic scope and functional modules to enhance CAR‐T cell efficacy.
Zhuoqun Liu, Yuchen Xiao, Yamin Zhao, Lihe Dai, David J.H. Shih, Shikang Liang, Honglei Tian, Liu Liu, Feng Tian, Bing Liu, Lei Chang, Chao Zhang   +11 more
wiley   +1 more source

Variational inequality and complementarity problem in locally convex Hausdorff topological vector space [PDF]

, 2005
The purpose of this paper is to study variational inequality and complementarity problem in a locally convex Hausdorff topological vector ...
S. Nanda
core  

The second cohomology of current algebras of general Lie algebras

, 2008
Let $A$ be a unital commutative associative algebra over a field of characteristic zero, $\k$ be a Lie algebra, and $\z$ a vector space, considered as a trivial module of the Lie algebra $\g := A \otimes \k$.
Neeb, Karl-Hermann, Wagemann, Friedrich
core   +1 more source