v2 Chapter 1613 - Cohomology, K, class and no time
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Homology is originally a different ballad that shares the same music, or two tones with the same tone.
This was originally a vocabulary bound to rhythm and phonology.
At the beginning, when Chinese mathematicians translated Western mathematical literature, they translated homology, a process that associates a sequence of commutative groups or modules with specific mathematical objects (such as topological spaces or groups) as “homology”.
The process of connecting a specific sequence [sequence of interchangeable groups or modes], that is, “score” with different “concepts”.
This is homology.
The concept of “homology” and the original is the result of the extension of algebraic topology, and it is the initial crystallization of the Bulbaki school.
Wang Qi, who is full of romance in his bones, will naturally use such words.
Su Junyu was completely intoxicated.
For him, this is no longer a song, but a chorus of countless songs.
Xiang Qi stayed with him when he saw that he could not leave him.
After a few hours, Su Junyu finally screamed, “Oh!”
The sleepy Xiang Qi woke up and said, “What’s wrong? The enemy is coming?”
“No, it’s beyond the scope of our research outside …” Su Junyu murmured: “Has it been here?”
“What’s wrong?” Xiang Qi puzzled.
“Sister Brother, he has introduced the field of topology …” Su Junyu murmured: “Is he developing in the same topology and homology algebra?”
“Topology …” Xiang Qi’s eyes widened: “Isn’t that even the line? Coherent algebra … Listening to the name is the mathematics of the lineage? This … this … what does this mean?”
Su Junyu shook his head and stared at the expanding draft: “Younger brother started to try to break the so-called” Lizonglianzong “difference very early. This is just normal for him, but … this is too fast!”
Xiang Qi’s eyes widened and he looked at Wang Qi incredulously on the wall.
Perhaps because of the first impression, no matter how strong Wang Qi ’s reputation is, Xiang Qi still treats him as the child who was “checked” by himself because of the practice of ancient law. Even if Wang Qi is known to be “powerful”, he has little sense.
But looking at Su Junyu’s expression, Xiang Qi suddenly felt …
Perhaps it is not that he has no real sense, but that Wang Qi has unknowingly surpassed his understanding.
Wang Qi has no time to feel the outside world at all. In the depths of his heart, it seemed to be burning a flame-all his spirit and all power were attracted by this flame. He burned the inspiration he got from thinking about things and turning them into a motivation.
And his only will is to control this “strength” and trend it toward a fixed direction.
The Burbaki School was only published in the 1970s and 1980s—it should have been studied by his school for more than ten years.
Pass the unimportant details, only the necessary nodes in the memory …
After unifying many achievements of past coherent algebra and topology, the algebraic K-theory has reached a minimum.
But Wang Qi did not stop, but relied on this “subset” that suddenly had a very high degree of completion due to “bursting inspiration” and went to a larger unknown field.
K-theory.
K-theory, the field where the Pope of Mathematics Alexander Grothendieck laid the foundation in 1957. K, German “Klasse”, which means “classification”, class.
If it is clearly expressed in the style of China, it should be something like “class theory”.
Wang Qi has known K-theory and its subset algebraic K-theory for a long time. But in Su Junyu’s eyes, this is simply absurd.
Wang Qi, without warning, turned back to write a “footnote”. As a result, the inadvertently clear part of Fang Cai’s theory suddenly became clear. And Su Junyu also had a trace of fear in his eyes-Wang Qi did this, as if after a long flight, he suddenly fell down to fill the gap in his feet, making it “the earth”!
The mist covering the draft suddenly dissipated. Su Junyu’s “chorus” suddenly became a magnificent “orchestra”. Countless symbols on the walls are turned into overwhelming waves. In Su Junyu’s ears, it seemed that countless villains were arguing and arguing about the future of mathematics. He used the energy of breastfeeding and wanted to remember the feeling of this moment, but the more memory, the more uncomfortable he was.
Xiang Qi found that the guy beside him suddenly sweated and froze. She was startled and said, “Junyu? Hey? What’s wrong with you? Talk!”
Su Junyu didn’t answer, but puffed out a black blood, and closed his eyes on the ground.
Xiang Qi was overwhelmed and picked up Su Junyu to find Chen Feng and Ai Qinglan.
Seeing the pale face, like Su Junyu who was suddenly old, Ai Qinglan was also very surprised: “Why did he fall down suddenly?”
Ai Qinglan reached out his hand and pressed on Su Junyu’s brow. Afterwards, she frowned: “Heart-effect?”
Xiang Qi was shocked: “How could this be?”
“Forcibly urged Xiu to assist in thinking, but I fell into something and I forgot the consequences. This is the case.” Ai Qinglan put his vitality into Su Junyu’s body: “What did he think?”
“He just stared at Brother Shi’s pile of drafts …” Xiang Qi murmured.
After a few minutes, Su Junyu finally coughed twice and woke up slowly. He stared blankly at the ceiling and groaned, “It’s actually like this …”
Xiang Qi asked: “What’s wrong?”
“Construction of two special groups …”
Xiang Qi is unclear so: “What’s the matter?”
“One has homology performance, one has homology performance …” Su Junyu murmured: “This will shake the door of all methods!”
Xiang Qi stared blindly at Ai Qinglan: “What is he talking about?”
Ai Qinglan shook his head. This kind of thing is definitely not used in her field, so her level of mathematics is not related to it.
Su Junyu quickly fell asleep.
Afterwards, Xiang Qi took the word that Su Junyu said and asked others. Most people are puzzled by Su Junyu’s description. Only Ai Qinglan showed full interest after hearing this and immediately ran to the arena.
In the end, Xiang Qi found Lu Xiaoqian, who kept guarding Liu Kuo.
“It’s all very high mathematics.” Lu Xiaoqian was also amazed. “The palace’s requirements for mathematics are also extremely high, but it is still inferior to all means. I have only been in touch with Su Daoyou.”
Looking at the expression on Lu Xiaoqian’s face, Xiang Qi exclaimed: “Isn’t it … you want to go too?”
Lu Xiaoqian was a little embarrassed: “No need.”
Xiang Qi shook his head: “Forget it, it’s just Liu Kuo … I’ll keep it for you. You will be since you go.”
After thanking Lu Xiaoqian, he also went to the arena.
In the following hour, Ai Changyuan and Lu Xiaoqian watched Wang Qi’s deduction hard. However, after all, they still lacked the “spirituality” of Wan Famen disciples, which was obtained through long-term training for mathematics, but they were arduously placed behind Wang Qi and passively absorbed.
After Su Junyu woke up, he recovered some spirits and came to this side again. Ai Qinglan tried to persuade him, hoping that he could wait for Wang Qi to write all the content before he went. In this case, he does not need to follow Wang Qi to think about it, and he will not be haggard.
But Su Junyu just shook his head and did not listen. Only he understood what an opportunity this was.
If he can’t even follow Wang Qi’s deduction, what kind of face does he have to study arithmetic as a member of the “base school”?
In the following hours, he was nailed into the arena like a javelin, his eyes were fixed on Wang Qi’s draft, and his mind kept thinking.
After a few hours, he exhausted his energy again and collapsed in vain. But once he regained a little energy, he would definitely stand in the arena again, watching Wang Qi’s “Fen Bi Ji Shu”.
Su Junyu felt that this scene would never be enough. In front of this chaotic, jumping draft, he was sometimes confused and sometimes immersed in an inexplicable happiness-as if the artist was facing the ultimate work.
He had to watch.
Even if Wang Qi’s “inspiration” is so chaotic, so lacking in conditioning.
…………………………………………………………………………………………………………………………………… …………………………………………
Ai Qinglan held his knees and leaned against the outermost wall of the arena, sighing, “Suddenly deserted.”
Zong Lutuo stood barefoot on the ground and frowned. He wished he could shield himself from all ordinary perceptions and concentrate on exploring the movement of the ground. But he still said: “After all, I went to see the tricks performed by Wang Qi-I don’t know if I can’t understand it.”
There was a hint of sarcasm in his tone. Everyone knows that even if the most cutting-edge things written by Wang Qi are disciples, how many other disciples can understand?
However, all the disciples of the One Alliance, plus Lu Xiaoqian and Su Junyu, went to watch Wang Qifen’s disease book-their fields all have strong requirements for arithmetic.
Other monks usually take time to rest. Chen Feng also has to watch over the “surrounding masses” who may fall at any time.
Only Ai Qinglan, who has a very strong physical perception, and Zong Lutuo, who can interpret the ground motion, are here to “whistle”.
Suddenly, Zong Lutuo stopped talking and frowned, “It seems to be coming.”
He felt heavy footsteps.
Not one, but many-dozens? More than that, definitely more than that. Hundreds, or hundreds?
He shivered and said, “I’m going to find everyone ready to fight!”
After he finished speaking, he stood up, rushed out quickly, and yelled everyone who could yell: “Hurry up, the enemy is coming!”
But after he walked to the arena, he found that everyone here could not move. Everyone including Lu Xiaoqian, everyone’s eyes were reluctant to leave Wang Qi’s spreading draft. Most of the monks in the Yimeng League were arguing with red ears, while Lu Xiaoqian, Ai Changyuan and Su Junyu had a fascinated expression on their faces.
Zong Lutuo didn’t quite understand and was anxious: “What’s wrong with you? Can’t you understand? The enemy is coming!”
“Forget it, it’s useless!” Ai Qinglan patted Zong Lutuo’s shoulder generously: “Our main fighting power is here … can’t fight now.”
Zong Lutuo was dumbfounded: “So … what now?”
“Before the guardian ban is broken, just wait for it?” Ai Qinglan pointed to the soft white light above him: “Who leaves us free? Everyone?”
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