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visits member for 1 year, 3 months
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16h
accepted If $R\rightarrow S$ is faithfully flat then show that it is pure, and reference for purity
19h
revised If $R\rightarrow S$ is faithfully flat then show that it is pure, and reference for purity
edited body
19h
asked If $R\rightarrow S$ is faithfully flat then show that it is pure, and reference for purity
Jul
14
comment Why does the definition of an open subscheme / open immersion of schemes allow for an “extra” isomorphism?
Sir, can you kindly give some reference or give some idea on how to prove the the criterion for open immersion you have mentioned? I am in urgent need for the proof for my presentation.
Jul
13
comment The distinguished open sets are affine subschemes
@GeorgesElencwajg: Sir, can you kindly give any reference to the equivalence stated in second paragraph? I am in urgent need of knowing the proof.
Jul
2
awarded  Curious
Jun
22
accepted every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
Jun
22
comment every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
you are suggesting the composition $B^2 -0 \rightarrow S^1\rightarrow S^1\rightarrow B^2$, but I do not understand the last map $S^1\rightarrow B^2$. Can you explicitly state the map?
Jun
22
comment every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
It might be obvious and I might be dumb, but can you still point out which continuous maps you are composing for the map from $B^2 - 0$? that is where I am facing difficulty.
Jun
22
comment every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
@Vladimir : I cannot show that the map is continuous by ϵ−δ argument. It seems that two nearby points inside the disk may get mapped to distant points by my map. Can you explain why you think it works?
Jun
22
comment every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
actually I am reading the book by Massey, and the question is given without introducing the theorems used in the proof. There should be an easier explanation to this question without using big theorems. If you can find some explicit map or easier argument, then it will be very helpful for me.
Jun
22
comment every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
can you give a reference for the fact that a homeomorphism of the circle is homotopic to the identity on the circle?
Jun
22
accepted Proving that $Hom_G (V,W)$ is 1-dimensional when $V,W$ are irreducible
Jun
22
asked every continuous map $S^1 \rightarrow S^1$ can be extended to continuous map $B^2 \rightarrow B^2$
Jun
22
comment Question regarding morphism of ringed spaces
sorry, I overlooked the requirement that $x\in U$, which is forced by definition.
Jun
21
comment Question regarding morphism of ringed spaces
Can you kindly explain what happens if $x \in$ closure of $U$, but $x$ does not belong to $U$?
Jun
20
comment Question regarding morphism of ringed spaces
@Martin Brandenburg: Thank you very much! I spent a lot of time to prove it, but in vain.
Jun
20
asked Question regarding morphism of ringed spaces
May
18
awarded  Yearling
Nov
7
suggested suggested edit on Is noetherianity a local property?