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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.
   • CommentAuthorUrs
   • CommentTimeJan 2nd 2023
   • (edited Jan 2nd 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexthe term "homotopy pushout" used to be just redirecting the reader to "[[homotopy pullback]]". Since this makes it hard to have informative cross-links with related entries (such as with *[[homotopy pushout type]]*) I am hereby splitting it off as a stand-alone entry. But for the moment this entry remains a stub, mainly pointing back to *[[homotopy pullback]]*. To be expanded. <a href="https://ncatlab.org/nlab/revision/homotopy+pushout/1">v1</a>, <a href="https://ncatlab.org/nlab/show/homotopy+pushout">current</a>

   the term “homotopy pushout” used to be just redirecting the reader to “homotopy pullback”. Since this makes it hard to have informative cross-links with related entries (such as with homotopy pushout type) I am hereby splitting it off as a stand-alone entry.

   But for the moment this entry remains a stub, mainly pointing back to homotopy pullback. To be expanded.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJan 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Jeffrey Strom]], *Homotopy Pushput Squares*, §7.1 in: *Modern classical homotopy theory*, Graduate Studies in Mathematics **127**, American Mathematical Society (2011) &lbrack;[doi:10.1090/gsm/127](http://www.ams.org/books/gsm/127/)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/homotopy+pushout/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+pushout/2">v2</a>, <a href="https://ncatlab.org/nlab/show/homotopy+pushout">current</a>

   added pointer to:

   • Jeffrey Strom, Homotopy Pushput Squares, §7.1 in: Modern classical homotopy theory, Graduate Studies in Mathematics 127, American Mathematical Society (2011) [doi:10.1090/gsm/127]

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Martin Arkowitz]], *Homotopy Pushouts and Pullbacks*, §6 in: *Introduction to Homotopy Theory*, Springer (2011) &lbrack;[doi:10.1007/978-1-4419-7329-0](https://doi.org/10.1007/978-1-4419-7329-0)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/homotopy+pushout/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+pushout/2">v2</a>, <a href="https://ncatlab.org/nlab/show/homotopy+pushout">current</a>

   added pointer to:

   • Martin Arkowitz, Homotopy Pushouts and Pullbacks, §6 in: Introduction to Homotopy Theory, Springer (2011) [doi:10.1007/978-1-4419-7329-0]

   diff, v2, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexand pointer to: * [[Peter May]], [[Kate Ponto]], *Some basic homotopy colimits* §2.1 in: _[[More concise algebraic topology]]_, University of Chicago Press (2012) &lbrack;[ISBN:9780226511795](https://press.uchicago.edu/ucp/books/book/chicago/M/bo12322308.html), [pdf](https://www.math.uchicago.edu/~may/TEAK/KateBookFinal.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/homotopy+pushout/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/homotopy+pushout/3">v3</a>, <a href="https://ncatlab.org/nlab/show/homotopy+pushout">current</a>

   and pointer to:

   • Peter May, Kate Ponto, Some basic homotopy colimits §2.1 in: More concise algebraic topology, University of Chicago Press (2012) [ISBN:9780226511795, pdf]

   diff, v3, current