3 citations · 8 across the 15 of their papers we have counts for
19 papers
The structuring effect of a Gottlieb element on the Sullivan minimal model of a space
Gregory Lupton, Samuel Bruce Smith
We show a Gottlieb element in the rational homotopy of a simply connected space implies a structural result for the Sullivan minimal model, with different results depending on…
The universal fibration with fibre in rational homotopy theory
Gregory Lupton, Samuel Bruce Smith
Let be a simply connected space with finite-dimensional rational homotopy groups. Let be the universal fibration of simply connected…
The Rational Sectional Category of Certain Universal Fibrations
Gregory Lupton, Samuel Bruce Smith
We prove that the sectional category of the universal fibration with fibre X, for X any space that satisfies a well-known conjecture of Halperin, equals one after rationalization.
Realizing spaces as classifying spaces
Gregory Lupton, Samuel Bruce Smith
Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of…
The effect of cell-attachment on the group of self-equivalences of an R-localized space
Mahmoud Benkhalifa, Samuel Bruce Smith
Let R be a subring of the rationals with least non-invertible prime p. Let X = X^{n} \cup_α (\bigcup_{j \in J} e^{q}) be a cell attachment with J finite and q small with respect to…
Gottlieb Groups of Function Spaces
Gregory Lupton, Samuel Bruce Smith
We analyze the Gottlieb groups of function spaces. Our results lead to explicit decompositions of the Gottlieb groups of many function spaces map(X,Y)---including the (iterated) fr…