Topoisomer

André JOYAL - 4/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

André JOYAL - 3/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

André JOYAL - 2/4 A crash course in topos theory : the big picture

I will sketch an overall picture of topos theory and of the theory of locales. It includes the notion of sheaf on a site, the notion of forcing topology, of geometric morphism and Giraud's theorem. A useful principle is that a topos is a commutative ring-like object. Every topos is a quoti

From playlist Topos à l'IHES

Jean BÉNABOU - Very, almost, and so on, ...

Very, almost, and so on, ... (when fragments of the language find their way into Topos Theory)

From playlist Topos à l'IHES

André JOYAL - New variations on the notion of topos

The notion topos is a prominent member of a family of notions which includes that of abelian category, of locally presentable category and of higher topos. We propose two new members: the notion of locus and that of para-topos. The category of pointed spaces and the category of spectra are

From playlist Topos à l'IHES

Olivia Caramello - 2/4 ntroduction to categorical logic, classifying toposes...

Introduction to categorical logic, classifying toposes and the « bridge » technique Construction of classifying toposes for geometric theories. Duality between the subtoposes of the classifying topos of a geometric theory and the quotients of the theory. Transfer of topos‐the

From playlist Topos à l'IHES

Mathieu ANEL - Toposes are commutative rings

Abstract: In this talk, we shall develop the point of view comparing (higher) toposes to commutative rings. We shall then see how the corresponding integral and differential calculus are related respectively to Verdier duality and Goodwillie calculus of functors.

From playlist Topos à l'IHES

Olivia Caramello - 3/4 ntroduction to categorical logic, classifying toposes...

Introduction to categorical logic, classifying toposes and the 'bridge' technique Theories classified by a presheaf topos and their quotients. Finite presentability, irreducible formulae and homogeneous models.

From playlist Topos à l'IHES

Lec 11 | MIT 7.012 Introduction to Biology, Fall 2004

Molecular Biology 2 (Prof. Eric Lander) View the complete course: http://ocw.mit.edu/7-012F04 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 7.012 Introduction to Biology, Fall 2004

Topoi 3: The definition of a topos

This is video number 3 in the series defining topoi. Here's the updated text used in the video: https://gist.github.com/Nikolaj-K/469b9ca1c085ea4ac4e3d7d0008913f5 Fourth video on Power and Negation in a topos: https://youtu.be/dvXRQI8RonY

From playlist Algebra

DNA Replication - Leading Strand vs Lagging Strand & Okazaki Fragments

This biology video tutorial provides a basic introduction into DNA replication. It discusses the difference between the leading strand and the lagging strand as well as the presence of okazaki fragments. Here is a list of topics: 0:00 - Intro to DNA Replication 0:00 - Semiconservative Re

From playlist Biology

DNA Replication | MIT 7.01SC Fundamentals of Biology

DNA Replication Instructor: Eric Lander View the complete course: http://ocw.mit.edu/7-01SCF11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 7.01SC Fundamentals of Biology

Lecture 5: The definition of a topos (Part 2)

A topos is a Cartesian closed category with all finite limits and a subobject classifier. In his two seminar talks (of which this is the second) James Clift will explain all of these terms in detail. In his first talk he defined products, pullbacks, general limits, and exponentials and in

From playlist Topos theory seminar