Search results for "Whitehead theorem"

showing 3 items of 3 documents

A note on conjugation involutions on homotopy complex projective spaces

1986

Algebran-connectedPure mathematicsHomotopy categoryGeneral MathematicsComplex projective spaceWhitehead theoremProjective spaceCofibrationQuaternionic projective spaceRegular homotopyMathematicsJapanese journal of mathematics. New series
researchProduct

Introduction to Homotopy Theory

2001

Consider two manifolds X and Y together with a set of continuous maps f, g,... $$ f:X \to Y,x \to f(x) = y;x \in X,y \in Y. $$

CombinatoricsPhysicsHomotopy groupn-connectedHomotopy sphereEilenberg–MacLane spaceWhitehead torsionWhitehead theoremCofibrationRegular homotopy
researchProduct

Homotopy limits for 2-categories

2008

AbstractWe study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

Discrete mathematicsPure mathematicsHomotopy lifting propertyHomotopy categoryGeneral MathematicsHomotopyHomotopiaQuillen adjunctionWhitehead theoremCofibrationMathematics::Algebraic Topologyn-connectedCategories (Matemàtica)Mathematics::K-Theory and HomologyHomotopy hypothesisMathematics::Category Theory512 - Àlgebra2-categories homotopy limits coherence conditionsMathematics
researchProduct