Abstract algebra | Limits (category theory)

Inverse limit

In mathematics, the inverse limit (also called the projective limit) is a construction that allows one to "glue together" several related objects, the precise gluing process being specified by morphisms between the objects. Thus, inverse limits can be defined in any category although their existence depends on the category that is considered. They are a special case of the concept of limit in category theory. By working in the dual category, that is by reverting the arrows, an inverse limit becomes a direct limit or inductive limit, and a limit becomes a colimit. (Wikipedia).

Inverse limit
Video thumbnail

1.4 Inverse Functions

OpenStax Calculus volume 1

From playlist Calculus 1

Video thumbnail

Math 030 Calculus I 031315: Inverse Functions and Differentiation

Inverse functions. Examples of determining the inverse. Relation between the graphs of a function and its inverse. One-to-one functions. Restricting the domain of a function so that it is invertible. Differentiability of inverse functions; relation between derivatives of function and

From playlist Course 2: Calculus I

Video thumbnail

Derivative of Inverse Function: Proof with Limits

Where does the formula for the derivative of an inverse function come from? Here's an explanation using the limit definition of the derivative. You can also prove this result using implicit differentiation, but limits are way more fun!

From playlist Calculus Problems

Video thumbnail

Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

Video thumbnail

(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

Video thumbnail

Use the inverse of a function to determine the domain and range

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

Video thumbnail

Find the domain and range of a function by using the inverse

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

Video thumbnail

Finding the inverse of a function- Free Online Tutoring

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

Video thumbnail

Learn how to find the inverse of a linear equation step by step

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

Video thumbnail

Inverse Trigonometric Functions, Part 5 ( Limits )

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Inverse Trigonometric Functions, Part 5 ( Limits ). In this video, I look at a few limit problems involving inverse trigonometric functions as well as some oth

From playlist All Videos - Part 1

Video thumbnail

CTNT 2022 - An Introduction to Galois Representations (Lecture 2) - by Alvaro Lozano-Robledo

This video is part of a mini-course on "An Introduction to Galois Representations" that was taught during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. More about CTNT: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2022 - An Introduction to Galois Representations (by Alvaro Lozano-Robledo)

Video thumbnail

MagLab Theory Winter School 2019: Bogdan A. Bernevig "Theory"

Topic: Topological Quantum Chemistry: Theory The National MagLab held it's seventh Theory Winter School in Tallahassee, FL from January 7th - 11th, 2019.

From playlist 2019 Theory Winter School

Video thumbnail

Diego Mondéjar Ruiz (6/10/22): Approximation of compact metric spaces by finite samples

We address the problem of reconstructing topological properties of a compact metric space by means of simpler ones. In this context, we use inverse sequences of finite topological spaces and polyhedra made from finite approximations of the space. This construction is related with Borsuk's

From playlist Vietoris-Rips Seminar

Video thumbnail

improper integrals, case 3 (KristaKingMath)

â–º My Integrals course: https://www.kristakingmath.com/integrals-course Check out http://www.kristakingmath.com for more math help! :D In this video we learn how to evaluate improper integrals of case type 3, which are improper integrals over the interval (-infinity,infinity). We'll pick

From playlist Integrals

Video thumbnail

What is a Manifold? Lesson 4: Countability and Continuity

In this lesson we review the idea of first and second countability. Also, we study the topological definition of a continuous function and then define a homeomorphism.

From playlist What is a Manifold?

Video thumbnail

checking a two-sided limit

Limit and continuity, limit of arctan(1/(x-4)) as x goes to 4, Checking both sides of a limit,

From playlist Limits at Infinities, (sect 2.6)

Video thumbnail

Random Matrices and Their Limits - R. Speicher - Workshop 2 - CEB T3 2017

Roland Speicher / 26.10.17 Random Matrices and Their Limits The free probability perspective on random matrices is that the large size limit of random matrices is given by some (usually interesting) operators on Hilbert spaces and corresponding operator algebras. The prototypical example

From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester

Video thumbnail

Lecture 9: Lebesgue Measurable Functions

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=ETmIxkbTm3I&list=PLUl4u3cNGP63micsJp_

From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021

Video thumbnail

Learn how to find inverse of a function and determine if the inverse is a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

Related pages

Category of sets | Mathematical object | If and only if | String (computer science) | Formal power series | Samuel Eilenberg | Mittag-Leffler's theorem | Group (mathematics) | Initial topology | Isomorphism | KÅ‘nig's lemma | Category of topological spaces | Indexed family | Algebra over a field | Categories for the Working Mathematician | Directed set | Direct limit | Direct product | Commutative diagram | Homomorphism | Injective object | Natural transformation | Cylinder set | Abelian category | Natural number | Mathematics | Set (mathematics) | Modular arithmetic | Integer | Exact functor | Dual (category theory) | Ring (mathematics) | Category theory | Aleph number | Category (mathematics) | Derived functor | Morphism | Limit (category theory) | Functor | Solenoid (mathematics) | Tychonoff's theorem | Subgroup | Group homomorphism | P-adic number | Cardinality | Universal property | Cantor set | Product topology | Module (mathematics) | Finite intersection property