Consider the set X=Y={a, b, c, d} with Ty = the indiscrete topology on Y, let f be a function fromX to the set Y, where f={(a,b), (b,b), (c,a), (d,a)}, then the topology on X induced by f and Ty isSelect one:a. the set {o, X, {a,b},{a},{b}}b. The discrete topologyc. the set {6, X, {a,b}}d. the subspace topologye. The indiscrete topologyThe Largest topology that can be put on a nonempty set X is the discrete topologySelect one:O TrueFalse if (X, T) is a topological space, then one of the following is trueSelect one:a. a subbases for T is also a basis for the topology on Xb. If B is a basis for T and C is a collection of subsets of X such that CC B, then C is a basis.c. a basis for T is also a subbases for Td. a basis for T is a topology on Xe. If B is a basis for T and Cis a collection of subsets of X such that BC C, then C is a basisIf x is an isolated point of a set A, thenSelect one:a. x is an element of A but there exists an open set containing x which containsother points of A.b. there exists an open set containing x which has an empty intersection with X/Ac. every open set containing x has a nonempty intersection with A/{x}.d. every open set containing x has an empty intersection with A.e. x is an element of A but there exists an open set containing x which does not contain anyother points of A.

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Consider the set X=Y={a, b, c, d} with Ty = the indiscrete topology on Y, let f be a function from X to the set Y, where f={(a,b), (b,b), (c,a), (d,a)}, then the topology on X induced by f and Ty is Select one: a. the set {o, X, {a,b},{a},{b}} b. The discrete topology c. the set {4, X, {a,b}} d. the subspace topology e. The indiscrete topology

Consider the set X=Y={a, b, c, d} with Ty = the indiscrete topology on Y, let f be a function from X to the set Y, where f={(a,b), (b,b), (c,a), (d,a)}, then the topology on X induced by f and Ty is Select one: a. the set {o, X, {a,b},{a},{b}} b. The discrete topology c. the set {4, X, {a,b}} d. the subspace topology e. The indiscrete topology

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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