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Verify the axiom of the category of Poset

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#elementary-set-theory #category-theory #order-theory
102
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Monoid morphisms

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#abstract-algebra #category-theory #formal-languages #monoid
116
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I need help with this definition of a category from SEP

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#category-theory
150
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Explicit Coequalizer in Set

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#category-theory
106
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Does the forgetful functor from the inner product spaces to vector spaces has a left adjoint?

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#linear-algebra #category-theory
89
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Are there adjoint localizations that aren't reflexive localizations?

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#category-theory #localization #adjoint-functors
79
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There is only one natural way to construct a map $X \times Y \rightarrow X$ for topological spaces.

Published on
#category-theory
71
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Equivalence of toposes $\mathcal{E}/(X + Y) \simeq \mathcal{E}/X \times \mathcal{E}/Y$

Published on
#category-theory #topos-theory
159
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Is the "coequalizer of a pullback" the same as the "equalizer of a pushout"?

Published on
#category-theory #pullback
42
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Is this end-like property expressible in a nicer way?

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#category-theory #functors
104
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Discrete categories / isomorphic objects in ncatlab

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#category-theory
187
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Exponents in a slice category of presheaves

Published on
#category-theory #topos-theory #yoneda-lemma
125
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Prove that $\lambda$ is a homotopy equivalence.

Published on
#general-topology #algebraic-topology #category-theory
45
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Definition of $\mathscr{U}$-small set

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#category-theory
1.3k
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Understanding the Giry monad

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#probability-theory #category-theory #monads

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