Hostname: page-component-8448b6f56d-jr42d Total loading time: 0 Render date: 2024-04-19T11:55:15.842Z Has data issue: false hasContentIssue false
  • English
  • Français

UNCOUNTABLE ORTHOGONALITY IS A CLOSURE PROPERTY

Published online by Cambridge University Press:  28 November 2001

M. HÉBERT  and
J. ROSICKÝ
M. HÉBERT
Affiliation:
Masaryk University, Janáčkovo nám. 2a, 662 95 Brno, Czech Republic; rosicky@math.muni.cz
J. ROSICKÝ
Affiliation:
The American University in Cairo, Mathematics Department, Box 2511, Cairo 11511, Egypt; mhebert@aucegypt.edu
Get access

Abstract

It is shown that, for λ > ω, λ-orthogonality classes in locally λ-presentable categories coincide with full subcategories that are closed under limits and under λ-directed colimits. This comes as a surprise, since the statement is known to be false for λ = ω.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 685 - 688
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)