Uncountable Orthogonality is a Closure Property | Zendy

Hébert M. | Zendy; Rosický J. | Zendy

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Uncountable Orthogonality is a Closure Property

Author(s) -

Hébert M.,

Rosický J.

Publication year - 2001

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609301008451

Subject(s) - uncountable set , mathematics , orthogonality , closure (psychology) , property (philosophy) , statement (logic) , surprise , pure mathematics , calculus (dental) , geometry , epistemology , countable set , social psychology , medicine , philosophy , economics , market economy , psychology , dentistry

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. 2000 Mathematics Subject Classification 18C35, 03G30, 18A40, 03C99.

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