Newbetuts

Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes

Composition of two continuous functions is continuous

How to show $f$ is continuous at $x$ IFF for any sequence ${x_n}$ in $X$ converging to $x$ the sequence $f(x_n)$ converges in $Y$ to $f(x)$

If f is continuous for every real number and $f(r)=0$ for every rational number, then $f(x)=0$ for all real numbers.

$f$ is continuous if and only if, $f(x_d) \to f(x)$ where $(x_d)_{d \in D}$ is a net such that $x_d \to x$

A uniformly continuous function maps bounded set to bounded sets

How to force Mac (Yosemite) to use USB Bluetooth instead of internal? [duplicate]

A map $I^n\to I^n$; Dieter Puppe's proof of the homotopy excision

How exactly can't $\delta$ depend on $x$ in the definition of uniform continuity?

Influence of small constant term on roots of polynomial

Showing that $\lim_{x\to c} f(x) > \alpha \Rightarrow f(c+h) > \alpha$ for $|h| < \delta $ where $\delta > 0 $

sequentially continuous on a non first-countable

How to stop this icon from appearing on the taskbar?

Why is continuity characterized with open sets?

Let $f$ be defined on $[a,b]$ s.t. $b$ is a minimum and $f$ is differentiable at $b$. Prove or disprove: $f'(b)\le 0.$

New posts in continuity

A continuous mapping is determined by its values on a dense set

Prove: bounded derivative if and only if uniform continuity

Is every matrix conjugate to its transpose in a continuous way?

Proof of uniform limit of Continuous Functions

Convolution is uniformly continuous and bounded

Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes

Composition of two continuous functions is continuous

How to show $f$ is continuous at $x$ IFF for any sequence ${x_n}$ in $X$ converging to $x$ the sequence $f(x_n)$ converges in $Y$ to $f(x)$

If f is continuous for every real number and $f(r)=0$ for every rational number, then $f(x)=0$ for all real numbers.

$f$ is continuous if and only if, $f(x_d) \to f(x)$ where $(x_d)_{d \in D}$ is a net such that $x_d \to x$

A uniformly continuous function maps bounded set to bounded sets

How to force Mac (Yosemite) to use USB Bluetooth instead of internal? [duplicate]

A map $I^n\to I^n$; Dieter Puppe's proof of the homotopy excision

How exactly can't $\delta$ depend on $x$ in the definition of uniform continuity?

Influence of small constant term on roots of polynomial

Showing that $\lim_{x\to c} f(x) > \alpha \Rightarrow f(c+h) > \alpha$ for $|h| < \delta $ where $\delta > 0 $

sequentially continuous on a non first-countable

How to stop this icon from appearing on the taskbar?

Why is continuity characterized with open sets?

Let $f$ be defined on $[a,b]$ s.t. $b$ is a minimum and $f$ is differentiable at $b$. Prove or disprove: $f'(b)\le 0.$