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Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Edit: I plan to award the bonus to new answers if there are any and of high quality.

Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Edit: Please do not be discouraged by the fact that the question is old and add new answers. I am sure you know a lot of interesting and not well known results.

Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Edit: I plan to award the bonus to new answers if there are any and of high quality.

Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Do you know of any very important theorems that remain unknown? I mean results that could easily make into textbooks or research monographs, but almost nobody knows about them. If you provide an answer, please:

1. State only one theorem per answer. When people will vote on your answer they will vote on a particular theorem.

2. Provide a careful statement and all necessary definitions so that a well educated graduate student working in a related area would understand it.

3. Provide references to the original paper.

4. Provide references to more recent and related work.

5. Just make your answer useful so other people in the mathematical community can use it right away.

6. Add comments: how you discovered it, why it is important etc.

7. Please, make sure that your answer is written at least as carefully as mine. I did invest quite a lot of time writing my answers.

As an example I will provide three answers to this question. I discovered these results while searching for papers related to the questions I was working on.

Edit: Please do not be discouraged by the fact that the question is old and add new answers. I am sure you know a lot of interesting and not well known results.