List questions from transfinite-recursion

Published on 07 Jan 2015 - 19:55

588

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Can this proof of existence of a Hamel basis using transfinite recursion be shortened/simplified?

Published on 25 Mar 2026 - 11:16

119

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The Definition of Definition by Recursion

Published on 07 Mar 2015 - 18:20

57

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uncountable repetitions

Published on 17 Apr 2015 - 0:58

193

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Is it possible to extend the set-inclusion order of a power set to a well-ordering?

Published on 08 May 2015 - 4:06

123

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Is there continuous $f: [0, 1] \rightarrow [0, \infty)$ such that for all $x$ there is $y$ with $f(y) < f(x)$?

Published on 19 Jul 2015 - 11:05

243

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closed form iterated logarithms

Published on 02 Oct 2015 - 10:13

57

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How to iterate a function 8 times about a given interval of x in a Discrete Dynamical System

Published on 10 Oct 2015 - 22:40

1.8k

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Proving that Monotone Convergence implies Least Upper Bound in $\mathbb{R}$.

Published on 23 Feb 2026 - 22:12

135

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Well-founded part of a graph

Published on 08 Apr 2013 - 19:58

377

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Is transfinite induction needed to remove all the elements from an uncountable set?

Published on 01 May 2013 - 3:15

413

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Which ordinals embed in $2^\omega$ ordered by inclusion?

Published on 11 Jun 2013 - 17:32

430

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Good resource to learn transfinite induction and/or recursion?

Published on 26 Jun 2013 - 12:40

501

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Definition by Recursion

Published on 02 Sep 2013 - 21:57

39

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Transfinite induction under an ordinal $\delta$

Published on 30 Oct 2013 - 17:28

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Transfinite fixed points of a function

Can this proof of existence of a Hamel basis using transfinite recursion be shortened/simplified?

The Definition of Definition by Recursion

uncountable repetitions

Is it possible to extend the set-inclusion order of a power set to a well-ordering?

Is there continuous $f: [0, 1] \rightarrow [0, \infty)$ such that for all $x$ there is $y$ with $f(y) < f(x)$?

closed form iterated logarithms

How to iterate a function 8 times about a given interval of x in a Discrete Dynamical System

Proving that Monotone Convergence implies Least Upper Bound in $\mathbb{R}$.

Well-founded part of a graph

Is transfinite induction needed to remove all the elements from an uncountable set?

Which ordinals embed in $2^\omega$ ordered by inclusion?

Good resource to learn transfinite induction and/or recursion?

Definition by Recursion

Transfinite induction under an ordinal $\delta$

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