List questions from baire-category

Published on 26 Jul 2016 - 19:09

649

Views

Baire Category theorem and open vs. closed nowhere dense sets

Published on 26 Jul 2016 - 19:22

810

Views

Understanding the application of the Baire category theorem to show the continuous function $f:[0,1] \to \mathbb{R}$ is nowhere differentiable

Published on 05 Aug 2016 - 20:01

116

Views

Domination and generalized low 2 sets

Published on 17 Aug 2016 - 5:22

2k

Views

Show a C-infinity function is a polynomial

Published on 17 Aug 2016 - 21:40

285

Views

About the equivalence of definitions of a Baire Space

Published on 03 Sep 2016 - 16:43

70

Views

$X$ a Baire Space and $f: X \to \mathbb{R}$ continuous $\Rightarrow $every non empty open set of $X$ has an open subset where $f$ is bounded.

Published on 03 Sep 2016 - 18:55

392

Views

Baire theorem explanation

Published on 11 Sep 2016 - 11:59

64

Views

Confused about a proof on co-meager sets

Published on 25 Sep 2016 - 7:39

277

Views

Recursion and induction in Baire theorem

Published on 05 Oct 2016 - 18:37

49

Views

How to show that $int(cl(B_{n}))$ is non-empty if $X$ is compact space

Published on 10 Oct 2016 - 17:18

126

Views

Limit of Powers of Operators in Banach Space Equals Infimum

Published on 10 Oct 2016 - 17:35

1.1k

Views

Existence of nowhere differentiable functions

Published on 23 Oct 2016 - 10:06

92

Views

If $X = \bigcup_{n=1}^{\infty} F_n$ and each $F_n$ is a closed set, then $\bigcup_{n=1}^{\infty} F_n^{\circ}$ is dense in $X$.

Published on 28 Oct 2016 - 1:00

44

Views

Possible application of the Baire Category thorem

Published on 01 Nov 2016 - 8:38

List Question

Example for hollow sets whose complement is not dense in $\mathbb{R}$.

Baire Category theorem and open vs. closed nowhere dense sets

Understanding the application of the Baire category theorem to show the continuous function $f:[0,1] \to \mathbb{R}$ is nowhere differentiable

Domination and generalized low 2 sets

Show a C-infinity function is a polynomial

About the equivalence of definitions of a Baire Space

$X$ a Baire Space and $f: X \to \mathbb{R}$ continuous $\Rightarrow $every non empty open set of $X$ has an open subset where $f$ is bounded.

Baire theorem explanation

Confused about a proof on co-meager sets

Recursion and induction in Baire theorem

How to show that $int(cl(B_{n}))$ is non-empty if $X$ is compact space

Limit of Powers of Operators in Banach Space Equals Infimum

Existence of nowhere differentiable functions

If $X = \bigcup_{n=1}^{\infty} F_n$ and each $F_n$ is a closed set, then $\bigcup_{n=1}^{\infty} F_n^{\circ}$ is dense in $X$.

Possible application of the Baire Category thorem

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