Quasitopos

In mathematics, specifically category theory, a quasitopos is a generalization of a topos. A topos has a subobject classifier classifying all subobjects, but in a quasitopos, only strong subobjects are classified. Quasitoposes are also required to be finitely cocomplete and locally cartesian closed.[1] A solid quasitopos is one for which 0 is a strong subobject of 1.[2]

References
  1. Wyler, Oswald (1991). Lecture Notes on Topoi and Quasitopoi. ISBN 978-9810201531. Retrieved 3 February 2017.
  2. Monro, G.P. (September 1986). "Quasitopoi, logic and heyting-valued models". Journal of Pure and Applied Algebra. 42 (2): 141–164. doi:10.1016/0022-4049(86)90077-0.
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