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Oleksandr Liubimov
Oleksandr Liubimov
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To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book, is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations onto it?".

And the result present in the paper asserts that $\lambda > 3$$\lambda > \sqrt{3}$ and this bound is optimal.

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book, is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations on it?".

And the result present in the paper asserts that $\lambda > 3$ and this bound is optimal.

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book, is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations to it?".

And the result present in the paper asserts that $\lambda > \sqrt{3}$ and this bound is optimal.

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Oleksandr Liubimov
Oleksandr Liubimov
  • 778
  • 4
  • 15

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book, is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations on it?".

And the result present in the paper asserts that $\lambda > 3$ and this bound is optimal.

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations on it?".

And the result present in the paper asserts that $\lambda > 3$ and this bound is optimal.

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book, is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations on it?".

And the result present in the paper asserts that $\lambda > 3$ and this bound is optimal.

Source Link
Oleksandr Liubimov
Oleksandr Liubimov
  • 778
  • 4
  • 15

To my mind the interesting and highly nontrivial yet stated in elementary terms result, which deserves to appear in Your Book is the Halpern-Weaver conjecture, which was resolved by Richard Evan Schwartz and published in Annals of Mathematics in 2025.

DOI: https://doi.org/10.4007/annals.2025.201.1.5

It is well known that one is able to make a Moebius band having a sufficiently long strip $1 \times \lambda$. The paper of Richard Schwartz answer the following question:

"What is the minimal value of ratio $\lambda$, so that it is possible to make the Moebius band of a $1\times \lambda$ paper strip applying only smooth isometric transformations on it?".

And the result present in the paper asserts that $\lambda > 3$ and this bound is optimal.

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