Locally small spaces with an application

Abstract

We develop the theory of locally small spaces in a new simple language and apply this simplification to re-build the theory of locally definable spaces over structures with topologies.

arXiv comment17 pages

References in corpus (3)

• Compactness and compactifications in generalized topology
• O-minimal homotopy and generalized (co)homology
• On generalized topological spaces

Cited by in corpus (1)

• Stone duality for Kolmogorov locally small spaces