NOTES ON ANTECEDENT-GOVERNMENT AND BLOCKING CATEGORIES

Notes and Exercises on ∞-categories

These notes are designed to accompany the lectures given by the author in the Geometric Langlands Seminar at the University of Chicago in the autumn quarter of 2007. The goal of the lectures was to give a brief introduction to J. Lurie’s work on ∞-categories. In the notes we provide some additional background from category theory and homotopy theory, as well as an extensive collection of exerci...

Blocking of subsequent and antecedent events.

Stimulus competition (e.g., blocking) has been observed between antecedent events (i.e., conditioned stimuli or potential causes), but recent evidence within the human causal learning literature suggests that it could also be obtained between subsequent events (i.e., unconditioned stimuli or potential effects). The present research tested this hypothesis with rat subjects. To avoid confounding ...

Notes on Cotorsion Theories and Model Categories

These are notes for two talks given by Mark Hovey at the Summer School on the Interactions between Homotopy Theory and Algebra at the University of Chicago, July 26 to August 6, 2004. Because they are notes, they are a bit more chatty and a bit more likely to contain errors than a paper would be, so caveat lector. They are based on the papers [Hov02], [Gil04b], and [Gil04a], and concern the rel...

Notes on Combinatorial Mathematics: Anti-blocking Polyhedra

Notes on Enriched Categories with Colimits of Some Class

The paper is in essence a survey of categories having φ-weighted colimits for all the weights φ in some class Φ. We introduce the class Φ of Φ-flat weights which are those ψ for which ψ-colimits commute in the base V with limits having weights in Φ; and the class Φ− of Φ-atomic weights, which are those ψ for which ψ-limits commute in the base V with colimits having weights in Φ. We show that bo...