Prolegomena:

Kant, 1783 (full title: Prolegomena to Any Future Metaphysics That Will Be Able to Present Itself as a Science)  contains summary of the Critique of Prue Reason’s main conclusions

 

space and geometry: * see Endnote 2

Kant tries to draw a relation between space & geometry.  In his The Critique of Pure Reason (section Transcendental Exposition) he refers to the synthetic a priori knowledge (or cognition) available in geometry & explains how a non-empirical, singular, immediate representation of space is possible & parallels this explanation of how synthetic a priori knowledge within geometry. He uses the geometric conception of space in mind throughout the Transcendental Aesthetic.

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time and arithmetic: * see Endnote 3

In the Transcendental Aesthetic (Critique of Pure Reason) Kant offers a series of arguments & conclusions concerning the nature of time.  He begins with a series of 5 arguments about the basic nature of time.  Like his discussion of space, the goal is to demonstrate that time is presupposed in all human experience; an a priori form of inner sense which structures and makes possible the cognition of objects qua appearances.