Compactly generated space
Kelley space, $k$-space
A Hausdorff topological space in which a subset is closed if its intersection with any compact subset is closed. Every locally compact Hausdorff space is compactly generated, as is every first countable Hausdorff space.
- Francis Borceux, "Handbook of Categorical Algebra: Volume 2, Categories and Structures", Encyclopedia of Mathematics and its Applications, Cambridge University Press (1994) ISBN 0-521-44179-X Zbl 1143.18002
Compactly generated space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Compactly_generated_space&oldid=51464