If T1 and T2 are two topologies on the same space X, thenO TINT2 is a topology on X but T1UT2 is notO TINT2 and T1UT2 are both topologies on XO TINT2 and T1UT2 both cannot be topologies on XO TIUT2 is a topology on X but T1NT2 is not

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If T1 and T2 are two topologies on the same space X, then

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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If T1 and T2 are two topologies on the same space X, then
O TINT2 is a topology on X but T1UT2 is not
O TINT2 and T1UT2 are both topologies on X
O TINT2 and T1UT2 both cannot be topologies on X
O TIUT2 is a topology on X but T1NT2 is not

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