This volume introduces equivariant homotopy, homology, and cohomology theory, along
with various related topics in modern algebraic topology. It explains the main ideas behind …

Suppose that ball-shaped sensors wander in a bounded domain. A sensor does not know its
location but does know when it overlaps a nearby sensor. We say that an evasion path …

In this paper the authors develop homotopy theoretical methods for studying diagrams. In
particular they explain how to construct homotopy colimits and limits in an arbitrary model …

arXiv:1608.03654v1 [math.AT] 12 Aug 2016 Page 1 arXiv:1608.03654v1 [math.AT] 12 Aug
2016 PARAMETRIZED HIGHER CATEGORY THEORY AND HIGHER ALGEBRA: A GENERAL …

One of the simplest diagrams often encountered in topology is that of a map!: X-7 X'between
two spaces. To consider it as a diagram we take J=(.-7.) to be the category with two objects …

Class-locally presentable and class-accessible categories Page 1 Journal of Pure and
Applied Algebra 216 (2012) 2113–2125 Contents lists available at SciVerse ScienceDirect …

We construct a q-model structure, a h-model structure and a m-model structure on
multipointed $ d $-spaces and on flows. The two q-model structures are combinatorial and …

We generalize the small object argument in order to allow for its application to proper
classes of maps (as opposed to sets of maps in Quillen's small object argument). The …

Building on work of Marta Bunge in the one-categorical case, we characterize when a given
model category is Quillen equivalent to a presheaf category with the projective model …

Let 𝒟 be a large category which is cocomplete. We construct a model structure (in the sense
of Quillen) on the category of small functors from 𝒟 to simplicial sets. As an application we …