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Everything about Projective object

Type of object in category theory

In category theory, the notion of a projective object generalizes the notion of a projective module. Projective objects in abelian categories are used in homological algebra. The dual notion of a projective object is that of an injective object. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Projective objectA 5-minute orientation
  2. Skim a recent paper: Test for Mean Projective Shape Change and 3D Object Identification from its Digital Camera ImagesInfluential work since 2022
  3. Pick up a classic book: Atlas Shrugged (Centennial Ed. HC)The most-reprinted book on the subject
  4. Read the landmark paper: Planar object recognition using projective shape representationCited 106 times
  5. Go sideways: Derived functorA closely related topic
  6. Go sideways: Grothendieck categoryA closely related topic

📖 Definitions

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🗂️ The subject at a glance

  1. Definition
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  3. Examples

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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