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15
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Epi-monic factorization of a composition as a pullback

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#category-theory #topos-theory
155
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Proving $\mathcal{P}(g \circ f) = \mathcal{P}(g) \circ \mathcal{P}(f)$ in a general topos

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#category-theory #topos-theory
62
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How to construct a group-valued sheaf from set-valued sheaf

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#sheaf-theory #sheaf-cohomology #topos-theory
84
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Stack comparison lemma

Published on
#category-theory #topos-theory #grothendieck-topologies
189
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Is there a sheaf model where the Weak Markov's principle fails?

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#general-topology #logic #topos-theory #constructive-mathematics #intuitionistic-logic
33
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What does "full first-order logic" mean?

Published on
#topos-theory #categorical-logic
415
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Limits and colimits in the category of presheaves

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#category-theory #limits-colimits #topos-theory #functors
82
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Condition for partial maps being representable

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#category-theory #topos-theory
89
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codomain fibration of a topos is a stack

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#category-theory #topos-theory
88
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Equivalence of two definitions of sheaves over a Lawvere-Tierney topology

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#category-theory #topos-theory
126
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What if the sub-object classifier is the terminal object?

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#logic #category-theory #topos-theory
60
Views

Morphisms of frames induce morphisms of sites

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#category-theory #topos-theory #grothendieck-topologies #locales
103
Views

Is there an reciprocity in topology?

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#algebraic-topology #soft-question #covering-spaces #topos-theory #class-field-theory
41
Views

Topos isomorphic to the sheaf topos of the circle

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#topos-theory
108
Views

Order relations on natural number objects in topoi, and symmetry

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#category-theory #natural-numbers #topos-theory

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