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How Can I Be Homeomorphic?

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A quick proof that (0,1) is not homeomorphic to [0,1) without the need for any advanced analysis or topology.
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And, as always, any comments, feedback or suggestions are welcomed!
Thanks.
PS. I'm also available for private tutoring! As someone who has successfully studied maths at Oxford University, I can help you in achieving your dreams of studying maths at a top university. I have over 2 years of experience tutoring maths to prospective Oxbridge students! Email me using the email address above to get more details!
Follow me on Instagram: @jpimaths
And, as always, any comments, feedback or suggestions are welcomed!
Thanks.
PS. I'm also available for private tutoring! As someone who has successfully studied maths at Oxford University, I can help you in achieving your dreams of studying maths at a top university. I have over 2 years of experience tutoring maths to prospective Oxbridge students! Email me using the email address above to get more details!
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