Basic Doubt in Rice Theorem

Question

I read this blog http://gatecse.in/rices-theorem/ and I have a doubt in the first property.

An example in this blog is L(M) = {0} and it's written that TM_no =sigma* . My doubt is how can it be sigma* as sigma* can also contain {0} which should be accepted by TM.

Comments

@Rahul Yes, "0" is the reason for the first statement. Did not get your second query.

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Sir, for both the questions TMyes = {00,11} and TMno = {00,11,01} and TMyes is subset of TMno and hence both are not re right?

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yes, you are correct. I was thinking something else.