Continuous mappings | Theorems in topology

Tietze extension theorem

In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem) states that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary. (Wikipedia).

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Hajime Ishihara: The constructive Hahn Banach theorem, revisited

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: The Hahn-Banach theorem, named after the mathematicians Hans Hahn and Stefan Banach who proved it independently in the late 1920s, is a central tool in functional analys

From playlist Workshop: "Constructive Mathematics"

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FIT4.3. Galois Correspondence 1 - Examples

Field Theory: We define Galois extensions and state the Fundamental Theorem of Galois Theory. Proofs are given in the next part; we give examples to illustrate the main ideas.

From playlist Abstract Algebra

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Extended Fundamental Theorem of Calculus

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples

From playlist Calculus

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Ex 6: Second Fundamental Theorem of Calculus with Chain Rule

This video provides an example of how to apply the Second Fundamental Theorem of Calculus when the chain rule is required. Site: http://mathispower4u.com

From playlist The Second Fundamental Theorem of Calculus

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[348] DDB-EDM to FaBiO: The Case of the German Digital Library (ISWC 2021 Teaser Video)

Teaser Video for the International Semantic Web Conference 2021 Poster and Demo Track. Authors: Mary Ann Tan, Tabea Tietz, Sasha Bruns, Jonas Oppenlaender, Danilo Dessì, Harald Sack Webpage and SPARQL Endpoint: https://ise-fizkarlsruhe.github.io/ddbkg/ Information Service Engineering R

From playlist ISE Conference Talks

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[ESWC 2021] The Nuremberg Address Knowledge Graph

The minute madness video presenting the Nuremberg Address Knowledge Graph. Authors: Oleksandra Bruns, Tabea Tietz, Mehdi Ben Chaabane, Manuel Portz, Felix Xiong, and Harald Sack. Website: https://ise-fizkarlsruhe.github.io/Transraz/NA-KG Paper: https://www.researchgate.net/publication/351

From playlist ISE Conference Talks

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Artur Axmann – Einziges Interview mit dem Reichsjugendführer, 1995 (Teil 1)

Der ehemalige Reichsjugendführer Artur Axmann (1913-1996) und Nachfolger von Baldur von Schirach, der nach dem Krieg kurze Zeit unter dem Tarnnamen Erich Siewert untergetaucht war, spricht 50 Jahre nach dem Kriegsende erstmalig ganz offen in einem Interview über seine Erlebnisse und bietet

From playlist Artur Axmann - Einziges Interview mit dem Reichsjugendführer

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Can you prove it? The Extreme Value Theorem

Extreme Value Theorem Proof In this video, I prove one of the most fundamental results of calculus and analysis, namely that a continuous function on [a,b] must attain a maximum and a minimum. Do you know how to prove it? Watch this video and find out! Bolzano-Weierstrass Theorem: https:

From playlist Real Analysis

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Determinantenformel für Blockmatrizen

Abonniert den Kanal oder unterstützt ihn auf Steady: https://steadyhq.com/en/brightsideofmaths Ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier zeige ich einen Beweis für die Produktformel bei der Berechnung von Determinanten aus Blockmatrizen. (Aufgabe passt zur Vo

From playlist Lineare Algebra

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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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Continuous implies Bounded

Continuous implies Bounded In this video, I show that any continuous function from a closed and bounded interval to the real numbers must be bounded. The proof is very neat and involves a straightforward application of the Bolzano-Weierstraß Theorem, enjoy! Bolzano-Weierstraß: https://yo

From playlist Limits and Continuity

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Evaluate the integral with e as the lower bound

👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of the integral of a function yields the original funct

From playlist Evaluate Using The Second Fundamental Theorem of Calculus

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24C3: Spiel, Freude, Eierkuchen? (de)

Speakers: Frank Rosengart, Rainer Fromm Die Gamerszene und ihre Reaktion auf kritische Berichterstattung Der Journalist Rainer Fromm berichtet über seine Erfahrungen mit der Gamerszene, mit Filmbeispielen und anschließender Diskussion. Nachdem das ZDF einen Magazinbeitrag über die A

From playlist 24C3: Full steam ahead

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Functional Analysis Lecture 05 2014 02 04 Hahn-Banach Theorem and Applications

Statement of Hahn-Banach; proof; application to dual linear transformations; L^1 is not the dual of L^infinity.

From playlist Course 9: Basic Functional and Harmonic Analysis

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John McCarthy: Norm-preserving extensions of bounded holomorphic functions

Recording during the meeting "Interpolation in Spaces of Analytic Functions" the November 18, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audio

From playlist Analysis and its Applications

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Riemann Series Theorem

In this video, I explain a quite unbelievable fact about series: If a series converges, but does not converge absolutely, then we can rearrange it to have any limit that we want! Enjoy this beautiful analysis extravaganza, also known as the Riemann Rearrangement Theorem. Rearrange a serie

From playlist Series

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Christopher Schafhauser: On the classification of nuclear simple C*-algebras, Lecture 4

Mini course of the conference YMC*A, August 2021, University of Münster. Abstract: A conjecture of George Elliott dating back to the early 1990’s asks if separable, simple, nuclear C*-algebras are determined up to isomorphism by their K-theoretic and tracial data. Restricting to purely i

From playlist YMC*A 2021

Related pages

Urysohn's lemma | Compact space | Topological space | Metric space | Riesz space | Euclidean topology | Vector space | L. E. J. Brouwer | Normal space | Real number | Topology | Henri Lebesgue | Hausdorff space | Mizar system | Hölder condition