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Why are all open subsets not infinite in extent?

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#complex-analysis #metric-spaces #definition
393
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Short question about modulo space $\mathbb Z^n_p$ and the zero vector

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#linear-algebra #vector-spaces #definition
190
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dual Dedekind-infinity may not imply Dedekind-infinite without AC

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#set-theory #definition #axiom-of-choice
197
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Dually Dedekind Set and Weakly Dedekind set

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#set-theory #definition
548
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Is there a relation eigenvectors and unitary operator.

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#real-analysis #linear-algebra #functional-analysis #definition
2.9k
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(Is it a set?) Set of all months having more than 28 days.

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#elementary-set-theory #definition
59
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Uniqueness of a number $area(A)$

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#calculus #limits #definition #area
459
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Is the co-domain needed if we have the range?

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#functions #definition
144
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Metric Space Definition

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#metric-spaces #definition
218
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Question about negative value using the ratio convergence test for integrals

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#calculus #integration #improper-integrals #definition
852
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About odd functions and improper integrals e.g. $\int^{\infty}_{-\infty}\sin x \; dx$

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#calculus #integration #definite-integrals #improper-integrals #definition
232
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Weibel definition 1.4.1. understanding the indexes on splitting maps

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#definition #homological-algebra
1.6k
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What is the definition of axiom (mathematically speaking)

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#definition #axioms
163
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Is there a special name for functors from a category C to a subcategory of C?

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#category-theory #terminology #definition
206
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Is defining an "$S$-scheme" this way just a stylistic choice?

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#algebraic-geometry #category-theory #definition #schemes

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