Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Wu, Enxin"'
Autor:
Wu, Enxin, Yang, Zhongqiang
It is expected that the $D$-topology makes every diffeological vector space into a topological vector space. We show that it is the case for a large class of diffeological vector spaces via $k_\omega$-space theory, but not so in general. The paper al
Externí odkaz:
http://arxiv.org/abs/2205.09562
Autor:
Wu, Enxin
In this paper, we study a new operation named pushforward on diffeological vector pseudo-bundles, which is left adjoint to the pullback. We show how to pushforward projective diffeological vector pseudo-bundles to get projective diffeological vector
Externí odkaz:
http://arxiv.org/abs/2102.07471
Autor:
Christensen, J. Daniel, Wu, Enxin
We explore several notions of $k$-form at a point in a diffeological space, construct bundles of such $k$-forms, and compare sections of these bundles to differential forms. As they are defined locally, our $k$-forms can contain more information than
Externí odkaz:
http://arxiv.org/abs/2009.01770
Autor:
Christensen, J. Daniel, Wu, Enxin
We develop the theory of smooth principal bundles for a smooth group $G$, using the framework of diffeological spaces. After giving new examples showing why arbitrary principal bundles cannot be classified, we define $D$-numerable bundles, the smooth
Externí odkaz:
http://arxiv.org/abs/1709.10517
Autor:
Christensen, J. Daniel, Wu, Enxin
Publikováno v:
Pacific J. Math. 303 (2019) 73-92
We study the relationship between many natural conditions that one can put on a diffeological vector space: being fine or projective, having enough smooth (or smooth linear) functionals to separate points, having a diffeology determined by the smooth
Externí odkaz:
http://arxiv.org/abs/1703.07564
Autor:
Wu, Enxin
In this paper, we use some basic quasi-topos theory to study two functors: one adding infinitesimals of Fermat reals to diffeological spaces (which generalize smooth manifolds including singular spaces and infinite dimensional spaces), and the other
Externí odkaz:
http://arxiv.org/abs/1603.09266
Autor:
Wu, Enxin
This paper contains two topics of Fermat reals, as suggested by the title. In the first part, we study the \omega-topology, the order topology and the Euclidean topology on Fermat reals, and their convergence properties, with emphasis on the relation
Externí odkaz:
http://arxiv.org/abs/1603.09224
Autor:
Christensen, J. Daniel, Wu, Enxin
Publikováno v:
Proceedings of the AMS 145(5) (2017), 2255-2270
We show that a diffeological bundle gives rise to an exact sequence of internal tangent spaces. We then introduce two new classes of diffeological spaces, which we call weakly filtered and filtered diffeological spaces, whose tangent spaces are easie
Externí odkaz:
http://arxiv.org/abs/1510.09182
Autor:
Giordano, Paolo, Wu, Enxin
We develop the integral calculus for quasi-standard smooth functions defined on the ring of Fermat reals. The approach is by proving the existence and uniqueness of primitives. Besides the classical integral formulas, we show the flexibility of the C
Externí odkaz:
http://arxiv.org/abs/1503.05965
Autor:
Christensen, J. Daniel, Wu, Enxin
Publikováno v:
Cahiers de Topologie et Geom\'etrie Diff\'erentielle Cat\'egoriques 57(1) (2016), 3-50
We study how the notion of tangent space can be extended from smooth manifolds to diffeological spaces, which are generalizations of smooth manifolds that include singular spaces and infinite-dimensional spaces. We focus on two definitions. The inter
Externí odkaz:
http://arxiv.org/abs/1411.5425