From university academician to chief academician

Chapter 23 Proving the Minimal Tower Problem

After returning to school, Ye Fei went to the tutor's office.

"Back!" Lu Yishan smiled when he saw Ye Fei coming in.

"Teacher!" Ye Fei said after sitting down: "I have proved p=t, do you know this?"

Lu Yishan's expression froze, do I know? Of course I know.

Because of you, I have no goal to strive for.

Lu Yishan nodded and said, "I know."

“I went to the School of Mathematics of Fudan University for lectures these days, and then I entered their small library and saw a lot of documents that were not published to the public, including knowledge of set theory. This allowed me to find the remaining proof ideas for the minimal tower problem. "

Lu Yishan looked at Ye Fei in surprise and said, "Have you found the idea of ​​p=t under ZFC in just these few days?"

"Yes!" Ye Fei nodded and smiled: "But I haven't verified it yet. If the verification is successful, our minimal tower problem will be proven."

Lu Yishan sighed in his heart. In less than two months since the beginning of the research, you have solved the minimal tower problem.

So what do all my years of research count for?

Lu Yishan felt the strong malice coming from the genius.

Lu Yishan said: "When are you going to write your thesis?"

"Write it right away. I came here just to talk to the instructor."

Lu Yishan complained in his heart, are you here to attack me?

Lu Yishan nodded.

After leaving the tutor's office, Ye Fei began to check what he was thinking about, p=t under ZFC.

Three days later, library!

Ye Fei said in surprise: "My idea is indeed right."

"Let's start writing the paper!"

At this time, what Ye Fei didn't know was that many people around the world knew the idea of ​​proving p=t after listening to his explanation of the proof of p=t.

Among the minimal tower problems, the most difficult one is p=t.

p=t under ZFC is not too difficult.

After all, p=t has been proved, and the only thing left is to convert p=t and apply it to ZFC.

Faced with the temptation of world problems, many people want to be the first to prove the minimal tower problem.

Perhaps, this is their only chance in this life to prove a difficult problem in the world.

They must prove the problem of the minimal tower before Ye Fei, otherwise they will have no chance.

They do this in a somewhat cheeky way.

After all, the most difficult part has been solved by Ye Fei. As long as they prove the simple part, they can prove the minimal tower problem.

Then complete the paper and publish it to Arxiv, and they can become the author of the proof of the minimal tower problem.

Of course, some people would later accuse them of being shameless.

But when faced with the temptation of the world's difficult problems and the temptation of being famous in mathematics, be shameless!

Kyoto University, library!

Rollo is a master's student in the Department of Mathematics. He didn't come to the library until around nine o'clock this weekend.

But the library was overcrowded, and it took a long time to find a place to sit down.

After sitting down, he opened Arxiv to check it out. This is a website often visited by mathematics students.

Suddenly, his eyes widened and he exclaimed: "Ye Fei has proved that there is a problem with the minimal tower."

The sound was loud and heard by many people.

Many people were interrupted from studying and looked at him irritably.

But Luo Luo didn't seem to notice. He excitedly clicked on Ye Feixin's paper.

"This is too fast, it's only half a month!"

"As expected of Ye Fei, he has proven that p=t under ZFC in such a short period of time."

Many people in the library heard Luo Luo's words, and some people who knew Ye Fei went online to check.

Soon, they also discovered the paper published by Ye Feixin.

England, Cambridge University!

"Ye Fei has actually proven the minimal tower problem." Coomas looked at Ye Fei's new paper and his own efforts in the past few days, and felt very sad.

Ever since he saw Ye Fei explaining p=t, he has been working hard to prove that p=t under ZFC.

He wanted to prove it before Ye Fei, but now he is not halfway through the proof, Ye Fei has already proved it.

"How could he be so fast?"

Beiliguo, Princeton!

"It was proved so quickly." Perry said desperately: "There is no chance. Ye Fei's proof must be correct. After all, he has already proved the most difficult part of the minimal tower problem, and the easy part is for him It shouldn’t be difficult.”

"Hey..." Perry looked at his hard work over the past few days on the table. He pushed all the manuscript papers on the table to the ground and scattered them all over the floor.

Japan, University of Tokyo!

"Baga..." Taro Yoshikawa looked at the computer screen angrily: "Why, I have tried so hard and still can't catch up, why are you so fast?"

"I was really too slow. Such a good opportunity was gone." He clenched his fists in self-reproach.

When Ye Fei's paper proving the minimal tower problem was published on Arxiv.

Many people who are studying the p=t problem under ZFC have despair on their faces.

No one would think that Ye Fei's proof was wrong.

After all, the most difficult part was solved by Ye Fei, and the easy part should not be difficult for Ye Fei.

On this day, countless people around the world were defeated by Ye Fei's talent.

Of course, there were many people who were shocked and surprised by Ye Fei's talent, especially the people of Xia State.

After all, Ye Fei is from Xia country, and Ye Fei's achievements make them proud.

At this time, set theory section on Stack Exchange!

Many posts are about Ye Fei's proof of the minimal tower problem.

"Calculating the time, it took Ye Fei two months to prove the minimal tower problem."

"It can't be calculated like this. He didn't do all the research in the past two months. I heard that during this period, he also went to Fudan University, the magical capital of Xia Kingdom, to give a lecture and stayed at Fudan University for three days."

"Anyway, Ye Fei's scientific research speed is too fast. I have never seen such a fast man."

"Why is a man so fast? Women are not so fast either!"

"Can you please stop talking about this and please don't drive? We are talking about scientific research now."

"His speed is much faster than when he was studying singular bases. It should have taken him four months to study singular bases. Now he is studying the minimal tower problem and it only takes half the time of singular bases."

"I have never seen such a person. Singular bases and minimal towers are equally difficult problems, but his research is getting faster and faster."

"..."

In the evening, Ye Fei walked on the playground while thinking about the next research.

He has to write a total of two papers, one on p=t and the other on p=t under ZFC.

He only published one article, which was p=t under ZFC.

He will write another one within half a month.

The reason why he published p=t under ZFC first was because he previously posted the proof process of p=t on Arxiv, and he was afraid that someone would prove the minimal tower problem before him.

That’s why we first publish p=t under ZFC.

Of course, the current draft of p=t under ZFC is only posted on Arxiv. It will take several days to revise the paper many times before sending it to the journal.

"Since I have chosen set theory, my next research should still continue with set theory."

"Topological Otter conjecture? The problem of ultracompact cardinal canonical intramodels? Two problems in high-level finite Borel equivalence relations? The problem of determining the continuum potential? The Turing equivalence problem? Or the decidability of real number theory with exponential functions Sexual issues?”

These problems are all the remaining problems in set theory except for the continuum hypothesis.

Ye Fei's subsequent research still started from these questions.

As for the problem of continuum hypothesis, it is the most difficult ultimate problem.

At the very least, he will not start with the continuum hypothesis until these issues are resolved.

At this time, Ye Fei's cell phone rang!

"Hey, mentor!"

"Ye Fei, come to my office and I'll tell you some good news."

"OK!"

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