Order theory

Locally finite poset

In mathematics, a locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval [x, y] consists of finitely many elements. Given a locally finite poset P we can define its incidence algebra. Elements of the incidence algebra are functions ƒ that assign to each interval [x, y] of P a real number ƒ(x, y). These functions form an associative algebra with a product defined by There is also a definition of incidence coalgebra. In theoretical physics a locally finite poset is also called a causal set and has been used as a model for spacetime. (Wikipedia).

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Infinite Partial Sumsets in the Primes - Terence Tao

Special Year Research Seminar Infinite Partial Sumsets in the Primes Terence Tao University of California, Los Angeles; Member, School of Mathematics Date: February 7, 2023 It is an open question as to whether the prime numbers contain the sum A+B of two infinite sets of natural numbers

From playlist Mathematics

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Finite Sets and Infinite Sets | Don't Memorise

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From playlist Middle School Math - Sets

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Limit of vector function: an example

Free ebook http://tinyurl.com/EngMathYT Simple example on limits of vector functions and how to calculate them.

From playlist Engineering Mathematics

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Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Ulysses Alvarez - The Up Topology on the Grassmann Poset

38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Ulysses Alvarez, Binghamton University Title: The Up Topology on the Grassmann Poset Abstract: For a discrete poset X, McCord proved that there exists a weak homotopy equivalence from the order complex |X| to where X has

From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021

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Horizontal Asymptote, Vertical Asymptote, & Removable Discontinuity

How to find the Horizontal asymptote, vertical asymptote and removable discontinuity from a rational function. #calculus For more similar examples, check out my playlist :https://www.youtube.com/playlist?list=PLb2SZv7eAqpmFSRhJAtPYis3RT2TtCWbl Horizontal Asymptote, @0:10 Vertical Asymptot

From playlist Limits at Infinities, (sect 2.6)

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On Finite Types That Are Not h-Sets - Sergey Melikhov

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From playlist Mathematics

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Sylvie PAYCHA - From Complementations on Lattices to Locality

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From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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Steve Oudot (9/8/21): Signed barcodes for multi-parameter persistence via rank decompositions

In this talk I will introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally, of a poset representation. Like its unsigned counterpart in one-parameter persistence, the signed barcode

From playlist AATRN 2021

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David Meyer (1/30/18): Some algebraic stability theorems for generalized persistence modules

From an algebraic point of view, generalized persistence modules can be interpreted as finitely-generated modules for a poset algebra. We prove an algebraic analogue of the isometry theorem of Bauer and Lesnick for a large class of posets. This theorem shows that for such posets, the int

From playlist AATRN 2018

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Lec 11 | MIT 6.042J Mathematics for Computer Science, Fall 2010

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From playlist MIT 6.042J Mathematics for Computer Science, Fall 2010

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Martina Lanini: Totally nonnegative Grassmannians, Grassmann necklaces and quiver Grassmannians

30 September 2021 Abstract: Totally nonnegative (tnn) Grassmannians are subvarieties of (real) Grassmannians which have been widely investigated thanks to the several applications in mathematics and physics. In a seminal paper on the subject, Postnikov constructed a cellularisation of the

From playlist Representation theory's hidden motives (SMRI & Uni of Münster)

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Upper Bound

Upper and Lower Bound In this video, I define what it means for a set to be bounded above and bounded below. This will be useful in our definition of inf and sup. Check out my Real Numbers Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCZggpJZvUXnUzaw7fHCtoh

From playlist Real Numbers

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algebraic geometry 14 Dimension

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the dimension of a topological space, algebraic set, or ring.

From playlist Algebraic geometry I: Varieties

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Kolja Knauer : Posets, polynômes, et polytopes - Partie 2

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From playlist Combinatorics

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Singular Hodge Theory for Combinatorial Geometries by Jacob Matherne

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Infinite Limits (Limit Example 10)

Epsilon Definition of a Limit In this video, I illustrate the epsilon-N definition of a limit by doing an example with an infinite limit. More precisely, I prove from scratch that the limit of sqrt(n-2)+3 is infinity Other examples of limits can be seen in the playlist below. Check ou

From playlist Sequences

Related pages

Associative algebra | Partially ordered set | Incidence algebra | Finite set