closeHello! Click here if you would like to know what Factolex is about.

Product

16 more terms with the same name exist. Show the other terms
Start collecting facts
These are the best facts for Product, collected by our users from the web:
(You can find the source through the icon at the end of each fact)
  1. In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct prod

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 22, 2008
  2. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 22, 2008
  3. Let C be a category and let {Xi | i ∈ I} be an indexed family of (not necessarily distinct) objects in C. The product of the set {Xi} is an object X together with a collection of morphisms πi

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 22, 2008
  4. X → Xi (called the canonical projections or projection morphisms, which are often, but not always, epimorphisms) which satisfy a universal property

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 22, 2008
  5. for any object Y and any collection of morphisms fi

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 22, 2008
Displaying the top 5 of 14 facts in total. Show all 14 factsShow 3 more or all 14 facts
Do you know more? Submit a new fact

Add a new fact

A fact should only contain one sentence, describing an aspect of the term.

Fact
Example: located on the west coast of the U.S
Source
Tags
optional

Example: geography location -- separate tags with spaces

Add one more fact or give me some inspiration from:

More lexica »Featured Lexica

Look at what our users have created already.

Feedback

Please tell us what you think about our project

Contribute

On Factolex you can add facts and terms that you believe are missing.

To be sure that the term hasn't already been entered, please use the search function before doing so.

Home  |  About  |  FAQ  |  Feedback  |  Tools  |  Stats  |  Contact Us  |  API  |  Blog
Change language to: