Let S = {z âˆˆ â„‚âˆ¶ |z|=1} with the induced topology from â„‚ and let f:[0,2] â†’ S be defined as f(t) = e2Ï€it. Then, which of the following is TRUE ? Options: A . &nbspK is closed in [0,2] ==> f(K)is closed in S B . &nbspU is open in [0,2] ==> f(U) is open in S C . &nbspf(X) is closed in S ==> X is closed in [0,2] D . &nbspf(Y) is open in S ==> Y is open in [0,2]

Let S = {z âˆˆ â„‚âˆ¶ |z|=1} with the induced topology from â„‚

Question

Let S = {z âˆˆ â„‚âˆ¶ |z|=1} with the induced topology from â„‚ and let f:[0,2] â†’ S be defined as f(t) = e2Ï€it. Then, which of the following is TRUE?

Options:

A . K is closed in [0,2] ==> f(K)is closed in S

B . U is open in [0,2] ==> f(U) is open in S

C . f(X) is closed in S ==> X is closed in [0,2]

D . f(Y) is open in S ==> Y is open in [0,2]

Answer: Option A

-NA-

Was this answer helpful ?

Submit Solution

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0

Submit Solution

Latest Videos

Latest Test Papers