Consider X = {x,y,z). Select each and every topology, T, that results in a disconnected topological...

 

Transcribed Image Text:

Consider X = {x,y,z). Select each and every topology, T, that results in a disconnected topological space. T = {x, Ø, {x}, {z}, {x,Z}} T = (x, Ø. {x,y}, {z}} T = {x, Ø, {y}} T = (x, Ø, {x}, {y}, {x,y}, {x,z}} T = (x Ø, {x}, {y}, {z}, {x,y), (x,z), (y,z}} Consider X = {x,y,z). Select each and every topology, T, that results in a disconnected topological space. T = {x, Ø, {x}, {z}, {x,Z}} T = (x, Ø. {x,y}, {z}} T = {x, Ø, {y}} T = (x, Ø, {x}, {y}, {x,y}, {x,z}} T = (x Ø, {x}, {y}, {z}, {x,y), (x,z), (y,z}}

Answer rating: 100% (QA)

ii Given X xyz T x x y xz I there does not exist A and B sit AnB and AUBX So this is ... View the full answer