From a university student to a chief academician

Chapter 23 Proving the Minimal Tower Problem
After returning to school, Ye Fei went to the tutor's office.

"I'm back!" Seeing Ye Fei coming in, Lu Yishan laughed.

"Mentor!" Ye Fei sat down and said, "I have already proved p=t, do you know about this?"

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

Because of you, I lost my goal.

Lu Yishan nodded and said, "I know."

"I went to the School of Mathematics of Fudan University to give lectures in the past few days, and then entered their small library, and saw a lot of literature that is not published to the public, including the knowledge of set theory, which allowed me to find the remaining proof ideas for the minimal tower problem. "

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

"Yes!" Ye Fei nodded and said with a smile: "But I haven't verified it yet. If the verification is successful, our very small tower problem will be proved."

Lu Yishan sighed in his heart, from the beginning of the research, within two months, you solved the problem of the extremely small tower.

So what are my years of research?
Lu Yishan felt the strong malice from the genius.

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

"I'll write it right away, I'm here to talk to my instructor."

Lu Yishan complained in his heart, did he come 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.

In three days, the library!
Ye Fei said pleasantly: "My idea is indeed right."

"Let's start writing the paper!"

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

In the very small tower problem, the most difficult is p=t.

The p=t under ZFC is not too difficult.

After all, p=t has been proved, and the rest is to convert p=t and put it under ZFC.

Facing the temptation of the world's difficult problems, many people want to be the first to prove the minimal tower problem.

Perhaps, this is the only chance in their life to prove the world's difficult problems.

They had to prove the very small tower problem before Ye Fei, otherwise they would have no chance.

It's a bit cheeky for them to do this.

After all, Ye Fei has solved the most difficult problems. They only need to prove the simple part, and they can prove the very small tower problem.

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

Of course, there must have been accusations that they were thick-skinned afterwards.

But in the face of the temptation of the world's difficult problems and the temptation of being famous in the mathematics world, just be thick-skinned!
Kyoto University, library!

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

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

After sitting down, he opened Arxiv to check, which is a website frequented by mathematics majors.

Suddenly, he widened his eyes and exclaimed: "Ye Fei has proved the problem of the extremely small tower."

It was loud enough to be 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 Fei's new paper.

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

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

Many people in the library heard what Luo Luo said, and some people who knew Ye Fei checked it online.

Soon, they also discovered Ye Feixin's paper.

England, University of Cambridge!

"Ye Fei has already proved the problem of the extremely small tower." Kumas looked at Ye Fei's new paper, and then looked at his own efforts in the past few days, and his heart ached.

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 his proof is not halfway, Ye Fei has already proved it.

"How could he be so fast?"

North America, Princeton!

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

"Hey..." Perry looked at his hard work on the table in the past few days, and he pushed all the manuscript paper on the table to the ground, scattered all over the floor.

Dongying Country, University of Tokyo!
"Baga..." Yoshikawa Taro looked at the computer screen angrily: "Why, I have worked so hard, but I still haven't caught up. Why are you so fast?"

"I'm so slow, such a good opportunity just disappeared." He clenched his fists in self-blame.

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

Many people who are studying the p=t problem under ZFC are full of despair.

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, many people were shocked and pleasantly surprised by Ye Fei's talent, especially people from the Xia Kingdom.

After all, Ye Fei was from the Xia Kingdom, and Ye Fei's achievements made them feel honored.

At this time, the set theory section on Stack Exchange!

Many posts are about Ye Fei proving the minimal tower problem.

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

"It can't be counted in this way. He didn't do all the research in the past two months. I heard that during this period, he went to Fudan University to give a lecture and stayed in Fudan University for three days."

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

"A man who is so fast, a woman is not so fast!"

"Could you please stop messing around with your words, 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 problem of extremely small towers, and it only takes half the time for singular bases."

"I've never seen such a person. Singular bases and extremely small towers are equally difficult problems, but his research is getting faster and faster."

"..."

In the evening, Ye Fei took a walk in the playground while thinking about the next research.

He has to write two papers in total, one is p=t, and the other is p=t under ZFC.

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

He will write the other one within half a month.

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

That's why we first published p=t under ZFC.

Of course, the p=t under ZFC written now is just the first draft hanging on Arxiv, and it will take a few days to revise the paper many times before sending it to the journal.

"Since I choose set theory, my following research should continue with set theory."

"Topological Otter conjecture? The typical internal model problem of ultra-compact cardinal numbers? Two problems in the high-level finite Borel equivalence relation? Continuum potential determination problem? Turing equivalence problem? Or the decidability of real number theory with exponential function Sexual issues?"

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

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

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

At least these few problems have not been resolved, and he will not start with the continuum hypothesis.

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

"Hey, mentor!"

"Ye Fei, come to my office and tell you good news."

"Ok!"

(End of this chapter)