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@misc{marra2020characterisationcategorycompacthausdorff,
title={A characterisation of the category of compact {H}ausdorff spaces},
author={Vincenzo Marra and Luca Reggio},
year={2020},
eprint={1808.09738},
archivePrefix={arXiv},
primaryClass={math.CT},
url={https://arxiv.org/abs/1808.09738},
}
@article{HUSEK2019251,
title = {Factorization and local presentability in topological and uniform spaces},
journal = {Topology and its Applications},
volume = {259},
pages = {251-266},
year = {2019},
note = {William Wistar Comfort (1933-2016): In Memoriam},
issn = {0166-8641},
doi = {https://doi.org/10.1016/j.topol.2019.02.033},
url = {https://www.sciencedirect.com/science/article/pii/S0166864119300513},
author = {M. Hušek and J. Rosický},
keywords = {Realcompact space, Factorization, Locally presentable category},
abstract = {Investigating dual local presentability of some topological and uniform classes, a new procedure is developed for factorization of maps defined on subspaces of products and a new characterization of local presentability is produced. The factorization is related to large cardinals and deals, mainly, with realcompact spaces. Instead of factorization of maps on colimits, local presentability is characterized by means of factorization on products.}
}
@article{Marra_2017,
title={Stone duality above dimension zero: Axiomatising the algebraic theory of {C(X)}},
volume={307},
ISSN={0001-8708},
url={http://dx.doi.org/10.1016/j.aim.2016.11.012},
DOI={10.1016/j.aim.2016.11.012},
journal={Advances in Mathematics},
publisher={Elsevier BV},
author={Marra, Vincenzo and Reggio, Luca},
year={2017},
month=Feb, pages={253–287} }
@article{Isb82,
title = {Generating the algebraic theory of {C(X)}},
journal = {Algebra Universalis},
volume = {15 (2)},
pages = {153-155},
year = {1982},
author = {Isbell, J.R.}
}
@inproceedings{Dus69,
title = {Variations on {B}eck's tripleability criterion},
series = {Reports of the Midwest Category Seminar III},
editor = {MacLane, S.},
author = {Duskin, J.},
pages = {74-129},
year = {1969},
publisher = {Springer Berlin Heidelberg}
}
@article{Hoff18,
title = {Generating the algebraic theory of {C(X)}: The case of partially ordered compact spaces},
journal = {Theory and Applications of Categories},
author = {Hoffman, Dirk and Neves, Renato and Nora, Pedro},
pages = {276-295},
year = {2018},
volume = {33},
number = {12},
url = {http://www.tac.mta.ca/tac/volumes/33/12/33-12.pdf}}
@article{GU71,
title = {Lokal pr\"asentierbare {K}ategorien},
author = {P. Gabriel and F. Ulmer},
journal = {Lecture Notes in Mathematics},
publisher = {Springer-Verlag, Berlin},
volume = {221},
year = {1971}
}