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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
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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

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