In category theory, a branch of mathematics, a closed category is a special kind of category. In a locally small category, the external hom (x, y) maps a pair of objects to a set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein, in a closed category, the (object of) morphisms from one object to another can be seen as lying inside the category. This is the internal hom [x, y]. Every closed category has a forgetful functor to the category of sets, which in particular takes the internal hom to the external hom. (Wikipedia).
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Closure of Sets (Allegra's Question)
clarifying the idea of closure of a set under an operation
From playlist Middle School This Year
Math 101 Fall 2017 112917 Introduction to Compact Sets
Definition of an open cover. Definition of a compact set (in the real numbers). Examples and non-examples. Properties of compact sets: compact sets are bounded. Compact sets are closed. Closed subsets of compact sets are compact. Infinite subsets of compact sets have accumulation poi
From playlist Course 6: Introduction to Analysis (Fall 2017)
An Example of a Closed Continuous Function that is Not Open
An Example of a Closed Continuous Function that is Not Open If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
Reconsidering `functions' in modern mathematics | Arithmetic and Geometry Math Foundations 43
The general notion of `function' does not work in mathematics, just as the general notions of `number' or `sequence' don't work. This video explains the distinction between `closed' and `open' systems, and suggests that mathematical definitions should respect the open aspect of mathemat
From playlist Math Foundations
Part 19 - WordPress Theme Development - Code the Standard Post Format
:: Support Me :: http://www.alecaddd.com/support-me/ How to build a Premium Theme for WordPress - Lesson 19 Code the Standard Post Format GitHub Repo: https://github.com/Alecaddd/Sunset-theme Download Sunset Theme FREE: https://www.youtube.com/watch?v=ViZLtFIcSfo :: Tutorial Series ::
From playlist Create a Premium WordPress Theme
Higher Algebra 9: Symmetric monoidal infinity categories
In this video, we introduce the notion of a symmetric monoidal infinity categories and give some examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-mu
From playlist Higher Algebra
Homological Mirror Symmetry - Nicholas Sheridan
Nicholas Sheridan Massachusetts Institute of Technology; Member, School of Mathematics February 11, 2013 Mirror symmetry is a deep conjectural relationship between complex and symplectic geometry. It was first noticed by string theorists. Mathematicians became interested in it when string
From playlist Mathematics
Excel & Business Math 33: VLOOKUP Function for Incentive Pay: Commissions & Piecework (15 Examples)
Download Start Excel File: https://people.highline.edu/mgirvin/AllClasses/135NoTextBook/Content/05BankingPayroll/ExcelBusinessMathVideo33VLOOKUPIncentive.xlsx Download pdf Notes: https://people.highline.edu/mgirvin/AllClasses/135NoTextBook/Content/05BankingPayroll/ExcelBusinessMathVideo33V
From playlist Excel Payroll & Time Tricks
Gluing in Homotopy Type Theory - Michael Shulman
Michael Shulman University of California, San Diego; Member, School of Mathematics March 20, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
David Ayala: Factorization homology (part 3)
The lecture was held within the framework of the Hausdorff Trimester Program: Homotopy theory, manifolds, and field theories and Introductory School (8.5.2015)
From playlist HIM Lectures 2015
Substructural Type Theory - Zeilberger
Noam Zeilberger IMDEA Software Institute; Member, School of Mathematics March 22, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Stable Homotopy Seminar, 4: Model categories (Ivo Vekemans)
This talk by Ivo Vekemans is a thorough introduction to model categories, presenting: weak factorization systems; the definition of model category and major examples (simplicial sets, topological spaces, and chain complexes); notions of homotopy in a model category, and the homotopy catego
From playlist Stable Homotopy Seminar
Landau-Ginzburg - Seminar 1 - Introduction
This seminar series is about the bicategory of Landau-Ginzburg models LG, hypersurface singularities and matrix factorisations. In this first lecture Dan Murfet gives a high level overview of the seminar, singularities and the 1-morphisms of LG. The main example is how to think about permu
From playlist Metauni