Let T us be the usual topology on R and T_II be the lower limit topology generated by the unions of {]a,b]/ a,beR;asb}. Define f the mapping from (R, T_us) into (R, T II) by f(x) = 2x and g the...


Let T us be the usual topology on R and T_II be the lower limit topology generated<br>by the unions of {]a,b]/ a,beR;asb}. Define f the mapping from (R, T_us) into (R,<br>T II) by f(x) = 2x and g the mapping from (R, T_II) into (R, T_us) by g(x) = 3x. Then *<br>%3D<br>O fis a homeomorphism but g is not<br>O g is a homeomorphism but f is not<br>None of the choices<br>O f and g are both homeomorphisms<br>Back<br>Submit<br>Page 2 of 2<br>Never submit passwords through Google Forms<br>anese International University. Report Abuse<br>

Extracted text: Let T us be the usual topology on R and T_II be the lower limit topology generated by the unions of {]a,b]/ a,beR;asb}. Define f the mapping from (R, T_us) into (R, T II) by f(x) = 2x and g the mapping from (R, T_II) into (R, T_us) by g(x) = 3x. Then * %3D O fis a homeomorphism but g is not O g is a homeomorphism but f is not None of the choices O f and g are both homeomorphisms Back Submit Page 2 of 2 Never submit passwords through Google Forms anese International University. Report Abuse

Jun 05, 2022
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