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What categorical limits and colimits does $\pi_1$ preserve?

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#algebraic-topology #category-theory #fundamental-groups
127
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Is it true that $V$ and $V^*$ are naturally isomorphic as finite vector spaces if $V$ is equipped with an inner product?

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#linear-algebra #category-theory #inner-products
84
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Diagrams characterizing ring characteristic, and in particular field characteristic 1?

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#abstract-algebra #category-theory #field-theory #positive-characteristic
164
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Is this simple drawing a category?

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#category-theory
371
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Categories and the direct image functor

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#algebraic-geometry #category-theory #self-learning #sheaf-theory
362
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hom(C) in category theory

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#abstract-algebra #category-theory
238
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Colored operads as finitely essentially algebraic theory.

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#category-theory #model-theory #operads
248
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Help understanding subobject classifiers

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#category-theory
77
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Is there a left adjoint to the inclusion of discrete (op)fibrations over $X$ into $\mathbf{Cat}/X$?

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#category-theory #topos-theory
240
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are the sections of a sheaf always locally constant functions?

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#category-theory
512
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Words in the Category of Sets

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#group-theory #category-theory #set-theory #free-groups
558
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Group objects in category of $\mathcal{Set}$ are groups - How to prove it?

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#abstract-algebra #group-theory #category-theory
1.1k
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Definition of a coproduct and its universal property - connection?

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#abstract-algebra #category-theory #products #universal-property
1.3k
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Are adjoint functors between additive categories additive?

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#category-theory #adjoint-functors #additive-categories
234
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Is a subobject classifier logically equivalent to set-inclusion?

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#category-theory #relations #equivalence-relations #topos-theory

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