Results 1 to 10 of about 74 (59)

Nilpotency of homotopy pushouts [PDF]

Proceedings of the American Mathematical Society, 1983
Precise and effectively verifiable conditions are obtained for the pushout of a nilpotent space along a cofibration inducing a surjection of fundamental groups to be nilpotent. As an application we show that homotopical localization preserves cofiber sequences of nilpotent spaces.
Vidhyānāth K. Rao
  +4 more sources

Homotopy monomorphisms and homotopy pushouts

Topology and its Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sonia Ghorbal
  +6 more sources

A comparative survey of homotopy pullbacks and pushouts

, 2012
published_or_final_version ; Mathematics ; Master ; Master of ...
Paul Yiu Yu-hung
openaire   +3 more sources

When does P-localization preserve homotopy pushouts or pullbacks?

Topology and its Applications, 2004
The authors give conditions under which P-localization of nilpotent spaces (in the sense of Casacuberta and Peschke) can be extended over all spaces preserving fundamental constructs of homotopy theory like pushouts/ pullbacks, homotopy epimorphisms/ homotopy monomorphisms, homotopy fibrations.
Peschke, George, Shen, Wenhuai
openaire   +3 more sources

Operations on stable moduli spaces. [PDF]

Res Math Sci, 2020
Galatius S, Randal-Williams O.
europepmc   +1 more source

Functoriality of group trisections. [PDF]

Proc Natl Acad Sci U S A, 2018
Klug M.
europepmc   +1 more source

Lagrangian Relations and Quantum L ∞ Algebras. [PDF]

Commun Math Phys
Jurčo B, Pulmann J, Zika M.
europepmc   +1 more source

Lorentzian bordisms in algebraic quantum field theory. [PDF]

Lett Math Phys
Bunk S, MacManus J, Schenkel A.
europepmc   +1 more source

Structure theorems for homotopy pushouts I: contractible pushouts

Mathematical Proceedings of the Cambridge Philosophical Society, 1998
The author studies homotopy push-out squares \[ \begin{tikzcd} A\ar[r]\ar[d] & C\ar[d]\\ K\ar[r] & X\end{tikzcd} \] where the double mapping cylinder of \(K\leftarrow A\to C\) is homotopically equivalent to \(X\). In this paper, \(X\) is taken to be a point.
John R. Klein
openaire   +3 more sources

A Note On Homotopy Pushout And Homotopy Coherence

Quaestiones Mathematicae, 2003
We present a self-contained argument, characterizing a homotopy pushout square by recognizing it as an initial object in a certain coherent homotopy category of spaces under a cotriad. Mathematics Subject Classification (2000): 18A30, 55P10, 55Q05.
Hardie, K.A., Kamps, K.H., Witbooi, P.J.
openaire   +3 more sources