Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

$ \mathfrak{F}$-projective objects


Author: C. E. Hall
Journal: Proc. Amer. Math. Soc. 26 (1970), 193-195
MSC: Primary 18.10; Secondary 22.00
DOI: https://doi.org/10.1090/S0002-9939-1970-0258910-5
MathSciNet review: 0258910
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Previously, projective abelian topological groups were defined based upon the requirement that free abelian topological groups be projective. In the present paper it is observed that a similar definition of projective relative to a functor which has a right adjoint leads to equivalent results in a much more general setting. These results are then specialized to the category of topological groups (with Markov's free functor) for a detailed example.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 18.10, 22.00

Retrieve articles in all journals with MSC: 18.10, 22.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0258910-5
Keywords: $ \mathfrak{F}$-projective, adjoint functor, retract, completely regular space, free topological group, free functor, projective, Stone-Čech compactification, polynomial ring
Article copyright: © Copyright 1970 American Mathematical Society