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Showing two topological spaces are not homeomorphic

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#general-topology #proof-verification #algebraic-topology #topological-groups #universal-property
1.3k
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Show that the terminal object is unique up to a unique isomorphism

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#category-theory #universal-property
766
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Uniqueness of homomorphism in universal property of localisation

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#abstract-algebra #ring-theory #algebraic-number-theory #localization #universal-property
106
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I-ary Products in a Category

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#category-theory #products #universal-property
7.3k
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Why should I care about adjoint functors

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#soft-question #category-theory #adjoint-functors #universal-property #big-picture
24.3k
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What is a universal property?

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#category-theory #definition #universal-property
1k
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Tensor product of monoids and arbitrary algebraic structures

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#abstract-algebra #category-theory #tensor-products #monoid #universal-property
412
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Why is category theory not just another theory?

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#category-theory #universal-property
1.4k
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Universal property of $N\rtimes K$

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#abstract-algebra #group-theory #category-theory #semidirect-product #universal-property
945
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Axioms vs. Universal Constructions/Properties

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#intuition #definition #axioms #universal-property
72
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A mathematical object that can be characterised by axioms as well as by universal constructions

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#axioms #universal-property
282
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Proving a subgroup generated by a subset is a normal subgroup using universal properties

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#abstract-algebra #group-theory #category-theory #normal-subgroups #universal-property
64
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Specifying Categories up-to Equivalence

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#category-theory #monoid #universal-property
97
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Relation between universal properties and topological invariants.

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#general-topology #category-theory #product-space #universal-property
60
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Cardinality of set verifying the universal property

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#elementary-set-theory #cardinals #universal-property

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