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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
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   Author: nLab edit announcer
   Format: MarkdownItexAdded reference * [[Fred Richman]], *The fundamental theorem of algebra: a constructive development without choice*. Pacific Journal of Mathematics, Volume 196 (2000), No. 1, pg. 213–230. ([doi:10.2140/pjm.2000.196.213](http://dx.doi.org/10.2140/pjm.2000.196.213), [pdf](https://msp.org/pjm/2000/196-1/pjm-v196-n1-p10-p.pdf)) note that the website linked on this page doesn't work anymore Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/3">v3</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Added reference

   • Fred Richman, The fundamental theorem of algebra: a constructive development without choice. Pacific Journal of Mathematics, Volume 196 (2000), No. 1, pg. 213–230. (doi:10.2140/pjm.2000.196.213, pdf)

   note that the website linked on this page doesn’t work anymore

   Anonymouse

   diff, v3, current

2. • CommentRowNumber2.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * [[Fred Richman]], *Real numbers and other completions*, Real numbers and other completions. Mathematical Logic Quarterly, Volume 54, Issue 1, February 2008, Pages 98-108. ([doi:https://onlinelibrary.wiley.com/doi/10.1002/malq.200710024](https://onlinelibrary.wiley.com/doi/10.1002/malq.200710024)) Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • Fred Richman, Real numbers and other completions, Real numbers and other completions. Mathematical Logic Quarterly, Volume 54, Issue 1, February 2008, Pages 98-108. (doi:https://onlinelibrary.wiley.com/doi/10.1002/malq.200710024)

   Anonymouse

   diff, v5, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 28th 2024
   • (edited Jan 28th 2024)
   • PermaLink
   Author: Urs
   Format: MarkdownItexfixed duplication of title and url (here and in two other entries) <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   fixed duplication of title and url

   (here and in two other entries)

   diff, v6, current

4. • CommentRowNumber4.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * {#Richman12} [[Fred Richman]], *Algebraic functions, calculus style*. Communications in Algebra, Volume 40, Issue 7, July 2012, Pages 2671-2683 &lbrack;[doi:10.1080/00927872.2011.584337](https://doi.org/10.1080/00927872.2011.584337)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • {#Richman12} Fred Richman, Algebraic functions, calculus style. Communications in Algebra, Volume 40, Issue 7, July 2012, Pages 2671-2683 [doi:10.1080/00927872.2011.584337]

   Anonymouse

   diff, v7, current

5. • CommentRowNumber5.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * [[Fred Richman]], *A division algorithm*. Journal of Algebra and Its Applications, Vol. 04, No. 04, pp. 441-449 (2005) &lbrack;[doi:10.1142/S0219498805001289](https://doi.org/10.1142/S0219498805001289)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • Fred Richman, A division algorithm. Journal of Algebra and Its Applications, Vol. 04, No. 04, pp. 441-449 (2005) [doi:10.1142/S0219498805001289]

   Anonymouse

   diff, v7, current

6. • CommentRowNumber6.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
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   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * [[Fred Richman]], [[Douglas Bridges]], Peter Schuster, *A weak countable choice principle*. Proceedings of the American Mathematical Society 128(9):2749-2752, March 2000. &lbrack;[doi:10.1090/S0002-9939-00-05327-2](http://dx.doi.org/10.1090/S0002-9939-00-05327-2)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • Fred Richman, Douglas Bridges, Peter Schuster, A weak countable choice principle. Proceedings of the American Mathematical Society 128(9):2749-2752, March 2000. [doi:10.1090/S0002-9939-00-05327-2]

   Anonymouse

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7. • CommentRowNumber7.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
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   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * [[Fred Richman]], *Is 0.999… = 1?*. Mathematics Magazine, Volume 72, Issue 5, 1999, Pages 396-400, &lbrack;[doi:10.1080/0025570X.1999.11996777](https://doi.org/10.1080/0025570X.1999.11996777)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • Fred Richman, Is 0.999… = 1?. Mathematics Magazine, Volume 72, Issue 5, 1999, Pages 396-400, [doi:10.1080/0025570X.1999.11996777]

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8. • CommentRowNumber8.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 28th 2024
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   Author: nLab edit announcer
   Format: MarkdownItexAdding reference * [[Fred Richman]], *Laurent series over $\mathbb{R}$*. Communications in Algebra, Volume 48, Issue 5, 11 Jan 2020 Pages 1982-1984 &lbrack;[doi:10.1080/00927872.2019.1710166](https://doi.org/10.1080/00927872.2019.1710166)&rbrack; Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Fred+Richman/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Fred+Richman/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Fred+Richman">current</a>

   Adding reference

   • Fred Richman, Laurent series over $\mathbb{R}$. Communications in Algebra, Volume 48, Issue 5, 11 Jan 2020 Pages 1982-1984 [doi:10.1080/00927872.2019.1710166]

   Anonymouse

   diff, v7, current