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jw_
  • Member for 5 years
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4 votes
1 answer
80 views

When will $Hom_R(V,W)\cong V^*\otimes W$ also work for modules?

3 votes
3 answers
170 views

Alternative definition of product topology

3 votes
1 answer
826 views

How will horizontal and vertical vector field behave under lie bracket?

2 votes
1 answer
222 views

Why is infinite dimensional space with weak topology not locally bounded (Rudin 3.11)?

2 votes
0 answers
222 views

The definition of lie group action on vector field

2 votes
1 answer
117 views

Are there holes in every neighbourhood in GL(n,R)?

2 votes
1 answer
139 views

Confusion about the proof of $D\phi=d\phi+\rho_*(\omega)\cdot\phi$ and $D\omega=d\omega+\frac12[\omega\wedge\omega]$ in principal bundle

2 votes
1 answer
103 views

Properties of hole on donut

2 votes
1 answer
49 views

Shrinking basis of topological space

1 vote
0 answers
200 views

Tangent space of fiber bundle (or vector bundle)

1 vote
2 answers
2k views

What is B2 space in topology?

1 vote
1 answer
56 views

Does the index notation of tensor require the same set of basis for each copy of V?

1 vote
0 answers
113 views

How is the exterior product of multilinear forms defined with exterior algebra

1 vote
0 answers
15 views

Fundamental vector field on principal bundle commutes with special horizontal vector field

1 vote
1 answer
14 views

Extending tangent vectors to commuting vector fields on a neighborhood

1 vote
0 answers
104 views

Definition and properties of Pin group

1 vote
0 answers
28 views

Construction of Pin group-like groups

1 vote
0 answers
93 views

Confusion about root system of a Lie algebra

1 vote
1 answer
33 views

Does principal $O(n)$-bundle have to consist of orthogonal frames?

1 vote
0 answers
38 views

Is it easier to construct global sections on tangent bundle then other fiber bundle?

0 votes
0 answers
11 views

Detail of the differentiation in the theory of compatible connections

0 votes
0 answers
13 views

Constructing principal connection form from local connection forms

0 votes
0 answers
21 views

Constructing principal connection form from local connection forms: part II

0 votes
0 answers
13 views

Constructing principal connection form from local connection forms: part III

0 votes
0 answers
24 views

More intrinsic definition of secondary vector bundle structure

0 votes
0 answers
27 views

Some other perspective of reduction of structure group

0 votes
1 answer
61 views

Natural identification between the difference of two principal connections and the difference of corresponding linear connections

0 votes
0 answers
33 views

Is there a product of chain complex?

0 votes
0 answers
28 views

What is non injective singular n-simplex used for?

0 votes
1 answer
145 views

Counterexample of closed graph theorem when the image space is Hausdorff space but not compact?