Local Presentability Of Certain Comma Categories

ASU Author/Contributor (non-ASU co-authors, if there are any, appear on document)
Patricia Johann Ph.D, Professor (Creator)
Institution
Appalachian State University (ASU )
Web Site: https://library.appstate.edu/

Abstract: It follows from standard results that if A and C are locally ^presentable categories and F:A^C is a ^-accessible functor, then the comma category IdC^F is locally ^-presentable. We show that, under the same hypotheses, F^IdC is also locally ^-presentable.

Additional Information

Publication
Polonsky, A. & Johann, P. (2020). Local presentability of certain comma categories. Applied Categorical Structures 28(1), pp. 135-142. Publisher version of record available at: https://link.springer.com/article/10.1007/s10485-019-09574-w
Language: English
Date: 2019
Keywords
comma categories, algebraic theories, limit-sketches, algebra reflection sequence, endofunctor

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