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If $h_u \times_G F$ is representable for every $u \in \text{Ob}(C)$ and $G$ is representable then so is $F$.

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#abstract-algebra #category-theory #functors #fibre-product
609
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Short exact sequence of topological groups which is split, but not topologically split

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#general-topology #examples-counterexamples #topological-groups #fibre-product
31
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Generalizing the Chinese remainder theorem with fibred products

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#commutative-algebra #chinese-remainder-theorem #fibre-product
132
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Abstract deformations of affine schemes are affine?

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#affine-schemes #deformation-theory #fibre-product
117
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fibered product or quotient group?

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#group-theory #algebraic-number-theory #fibre-product
1.1k
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Fiber Product is an embedded submanifold

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#smooth-manifolds #vector-bundles #fiber-bundles #fibre-product
480
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Fibred product of a (vector bundle) set with itself

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#riemannian-geometry #vector-bundles #fibre-product
148
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differentials and tangent space of a fibre

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#algebraic-geometry #schemes #affine-schemes #tangent-spaces #fibre-product
157
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fibre with only one point is isomorphic to the spec of a field

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#algebraic-geometry #commutative-algebra #affine-schemes #fibre-product
166
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The automorphism scheme of a fibered surface

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#algebraic-geometry #complex-geometry #schemes #representable-functor #fibre-product
30
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$X$ is finite connected $n$-dimensional CW complex and $A = M_k(C(X))$.

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#operator-theory #c-star-algebras #cw-complexes #fibre-product
419
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Underlying topological spaces of scheme theoretic fibre products

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#general-topology #algebraic-geometry #schemes #fibre-product
369
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inverse image of fiber product of scheme

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#algebraic-geometry #schemes #divisors-algebraic-geometry #fibre-product
73
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Is the image of a curve under the projection morphism of a fiber product again a curve?

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#geometry #algebraic-geometry #curves #algebraic-curves #fibre-product
107
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Johnstone's Topos Theory, Lemma 0.17 - the lower-right square is a pushout, proof help.

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#category-theory #proof-explanation #topos-theory #universal-property #fibre-product

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