|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Diffeological vector
spaces
J. Daniel Christensen and Enxin Wu |
|
Vol. 303 (2019), No. 1, 73–92
|
Abstract |
|
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 linear functionals, having fine finite-dimensional subspaces, and having a Hausdorff underlying topology. Our main result is that the majority of the conditions fit into a total order. We also give many examples in order to show which implications do not hold, and use our results to study the homological algebra of diffeological vector spaces. |
PDF Access Denied
We have not been able to recognize your IP address
3.145.206.169
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
diffeological vector space, homological algebra, fine
diffeology, projective diffeological vector space, smooth
linear functionals
|
Mathematical Subject Classification 2010
Primary: 46S99
Secondary: 57P99
|
Milestones
Received: 6 May 2017
Revised: 29 January 2019
Accepted: 27 February 2019
Published: 21 December 2019
|
Authors |
| J. Daniel Christensen | |
| Department of Mathematics University of Western Ontario London ON Canada |
|
| Enxin Wu | |
| Department of Mathematics Shantou University Guangdong China |
|
