← math 게시판

[일반] 글하나만빌리겟음

ㅈ나힙하게식자..(almost9585) 2025-03-23 15:26 추천 0

https://mathoverflow.net/questions/36659/interdependence-between-a1-homotopy-theory-and-algebraic-cobordism

Just a moment...Just a moment...mathoverflow.net

Just a moment...Just a moment...mathoverflow.net

https://mathoverflow.net/questions/277069/what-is-homology-anyway

https://mathoverflow.net/questions/350571/why-do-we-study-complex-orientable-cohomology-theories

Just a moment...Just a moment...mathoverflow.net

https://math.stackexchange.com/questions/415787/motivation-of-stable-homotopy-theory/416059#416059

Motivation of stable homotopy theoryA stable homotopy category can be obtained by modifying the category of pointed CW-complexes: s are pointed CW-complexes, and for two CW-complexes $X$ and $Y$, we take $$\lbrace X,Y \rbrace = \math.stackexchange.com

https://math.stackexchange.com/questions/1588486/a-categorical-perspective-on-the-equivalence-of-sheaf-cohomology-and-cech-cohomo/1588494#1588494

A categorical perspective on the equivalence of sheaf cohomology and Cech cohomology?In the nLab article on cohomology, I found the following passage. One can then understand various "cohomology theories" as nothing but tools for computing $\pi_0 \mathbf{H}(X,A)$ using the kno...math.stackexchange.com

https://math.stackexchange.com/questions/3722217/why-is-the-dualizing-sheaf-omega-x-locally-free-of-rank-1-at-generic-points-f/3725395#3725395

Why is the dualizing sheaf $\omega_X$ locally free of rank 1 at generic points for a scheme $X$ satisfying $G_0$ and $S_2$?In his paper Generalized Divisors and Biliaison Hartshorne states that if $X$ is a noetherian, embeddable (say projective) scheme of pure dimension which satisfies the conditions $S_2$ (Serre condi...math.stackexchange.com

https://mathoverflow.net/questions/356206/de-rham-and-koszul-complexes

De Rham and Koszul complexesConsider the algebraic de Rham complex of the $n$-dimensional plane: this is merely$$\ldots\rightarrow Sym(V^*)\otimes\bigwedge^{k}V^*\rightarrow Sym(V^*)\otimes\bigwedge^{k 1}V^*\rightarrow\ldot...mathoverflow.net

https://mathoverflow.net/questions/63095/how-does-one-understand-grr-grothendieck-riemann-roch

how does one understand GRR? (Grothendieck Riemann Roch)I tried to answer an earlier question as to uses of GRR, just from my reading, although i do not understand GRR. Today i tried to understand the possible idea behind GRR. After editing my answermathoverflow.net

https://qchu.wordpress.com/2015/11/29/drawing-subgroups-of-the-modular-group/

Drawing subgroups of the modular groupPreviously we learned how to count the finite index subgroups of the modular group $latex \Gamma = PSL_2(\mathbb{Z})$. The worst thing about that post was that it didn’t include any pictures …qchu.wordpress.com

https://mathoverflow.net/questions/242508/which-of-these-4-definitions-of-galois-coverings-of-integral-schemes-are-equival

Which of these 4 definitions of Galois coverings of integral schemes are equivalent?Here are four possible definitions for an etale, finite, surjective map $X\rightarrow Y$ between integral schemes to be considered Galois:There exists a finite group $G$, and an action $\varphi: G\mathoverflow.net

https://mathoverflow.net/questions/67228/where-do-all-these-projection-formulas-come-from

Where do all these projection formulas come from?I have been intrigued for a long time by the formal similarity of results from different areas of mathematics. Here are some examples.Set theory Given a map $f:X\to Y$ and subsets $X' \subset X, Y'\mathoverflow.net

NT

https://math.stackexchange.com/questions/55449/in-what-sense-is-taniyama-shimura-the-n-2-case-of-langlands

Just a moment...Just a moment...math.stackexchange.com

Logic

https://math.stackexchange.com/questions/46656/why-is-topology-nonfirstorderizable/46686#46686

(Why) is topology nonfirstorderizable?Is it the right point of view to say, that topology is nonfirstorderizable (only) because the union of arbitrarily many open sets has to be open? And if "arbitrarily many" was relaxed to "finitely ...math.stackexchange.com

Cayley-Hamilton

https://math.stackexchange.com/questions/1755478/how-many-ways-are-there-to-prove-cayley-hamilton-theorem

How many ways are there to prove Cayley-Hamilton Theorem?I see many proofs for the Cayley-Hamilton Theorem in textbooks and net, so I want to know how many proofs are there for this important and applicable theorem?math.stackexchange.com

https://mathoverflow.net/questions/475892/is-the-zariski-density-proof-of-cayley-hamilton-circular

Is the Zariski density proof of Cayley-Hamilton circular?This old MO thread and its comments contains a discussion of the Zariski density proof of Cayley-Hamilton (I have also asked a separate question about the proof Victor gives in the comments here). ...mathoverflow.net

https://math.stackexchange.com/questions/4951342/is-this-1-line-proof-of-cayley-hamilton-incomplete

Is this 1-line proof of Cayley–Hamilton incomplete?In the comments of Martin Brandenburg's answer to this old MO question Victor Protsak offers the following &uot;1-line proof&uot; of the Cayley–Hamilton theorem. Here $p_A(\lambda)$ is themath.stackexchange.com

CT

https://math.stackexchange.com/questions/1709701/examples-of-waldhausen-categories

Examples of Waldhausen categories.Waldhausen's wS construction of K-theory assigns K-groups to an arbitrary small Waldhausen category, my main goal in reading this construction was to apply it to the case of exact categories with w...math.stackexchange.com

KT

https://math.stackexchange.com/questions/4871568/waldhausens-s-construction-as-an-adjoint

Waldhausen's $S.$ construction as an adjointI am studying K-theory with Weibel's K-book and have just read the definition of the $S.$ construction for Waldhausen categories. I also recently watched a series of talks by Thomas Nikolaus whichmath.stackexchange.com

https://math.stackexchange.com/questions/3613719/17-definitions-of-algebraic-k-theory-of-a-ring-which-should-i-take

17 definitions of algebraic K-theory of a ring. Which should I take?There are multiple definitions of algebraic K-theory, but I have trouble differentiating between them. Could someone help me out? Let $R$ be a commutative ring. I would like to define $K_n(R)$, and...math.stackexchange.com

https://mathoverflow.net/questions/121340/plus-construction-considerations

Plus construction considerations.In order to realise the K-groups of a ring as the homotopy groups of some space associated to that ring, Quillen proposed the following (roughly-sketched) construction:Recall that $K_1(R) = GL(R)...mathoverflow.net

Simplicial

https://mathoverflow.net/questions/691/simplicial-s

Simplicial sHow should one think about simplicial s in a category versus actual s in that category? For example, both for intuition and for practical purposes, what's the difference between a [mathoverflow.net

https://mathoverflow.net/questions/97732/realization-of-a-bisimplicial-set

Realization of a bisimplicial setHello,I just need some clarification (or a good reference) for the definition of the realization of a bisimplicial set, this is what i have when $X$ is a bisimplicial set its realization is$\cu...mathoverflow.net

댓글 1

나도 Galois covering 공부하긴 해야하는데 괜찮은 레퍼런스 어디 없나

수갤러 1(211.234) 2025-03-23 17:00