Q4: A- Choose the correct answer for the following: 1- A cofinite topological space (X, T) is: a- Regular space, b- Hausdroff space, c- Compact space, d- No one. 2- Every compact subset of Hausdroff space is: a- open set, b- closed set, c- clopen set, d- Not necessary. 3- The interval (0,1) in (R, T) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d- No one. 4- The interval [0,1) in (R, T₂) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d- No one.

Q4: A- Choose the correct answer for the following: 1- A cofinite topological space (X, T) is: a- Regular space, b- Hausdroff space, c- Compact space, d- No one. 2- Every compact subset of Hausdroff space is: a- open set, b- closed set, c- clopen set, d- Not necessary. 3- The interval (0,1) in (R, T) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d- No one. 4- The interval [0,1) in (R, T₂) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d- No one.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...

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