The bitwisted Cartesian model for the free loop fibration

S Saneblidze - Topology and its Applications, 2009 - Elsevier
Using the notion of truncating twisting function from a simplicial set to a cubical set a special,
bitwisted, Cartesian product of these sets is defined. For the universal truncating twisting …

The Classification of -compact Groups and Homotopical Group Theory

J Grodal - Proceedings of the International Congress of …, 2010 - World Scientific
We survey some recent advances in the homotopy theory of classifying spaces, and
homotopical group theory. We focus on the classification of p-compact groups in terms of …

[PDF][PDF] Generalized Davis-Januszkiewicz spaces and their applications to algebra and topology

A Trevisan - 2012 - research.vu.nl
In this thesis two different generalizations of Davis-Januszkiewicz spaces are presented.
The aim was not to generalize for the sake of abstractness, or because “it was possible” to …

Generalized Davis-Januszkiewicz spaces, multicomplexes and monomial rings

AJ Trevisan - 2011 - projecteuclid.org
We show that every monomial ring can be realized topologically by a certain topological
space. This space is called a generalized Davis-Januszkiewicz space and can be thought of …

Algebraic topology and distributed computing

X Liu, S Theriault, J Wu, Y Yue - Foundations of Data Science, 2024 - aimsciences.org
Algebraic topology has proved to be a useful tool in the study of distributed computing. In
this paper, we take a geometric realization problem that arises in distributed computing and …

Steenrod problem and some graded Stanley–Reisner rings

M Takeda - Algebraic & Geometric Topology, 2024 - msp.org
Abstract “What kind of ring can be represented as the singular cohomology ring of a space?”
is a classic problem in algebraic topology, posed by Steenrod. We consider this problem …

[HTML][HTML] On the realizability of group actions

C Costoya, A Viruel - Advances in Mathematics, 2018 - Elsevier
Let the pair (G, M) R denote a group G acting on an R-module M, R a unitary ring. We ask for
the existence of an R-local space X such that (E (X), π k (X)) R is equivalent, in a natural …

Realization of graded monomial ideal rings modulo torsion

T So, D Stanley - Algebraic & Geometric Topology, 2023 - msp.org
Realization of graded monomial ideal rings modulo torsion Page 1 T Algebraic & Geometric
Topology msp Volume 23 (2023) Realization of graded monomial ideal rings modulo torsion …

[PDF][PDF] Invariant rings and dual representations of dihedral groups

K Ishiguro - Journal of the Korean Mathematical Society, 2010 - koreascience.kr
The Weyl group of a compact connected Lie group is a reflection group. If such Lie groups
are locally isomorphic, the representations of the Weyl groups are rationally equivalent …

Weighted polyhedral products and Steenrod's problem

T So, D Stanley, S Theriault - arXiv preprint arXiv:2306.01956, 2023 - arxiv.org
arXiv:2306.01956v1 [math.AT] 2 Jun 2023 Page 1 arXiv:2306.01956v1 [math.AT] 2 Jun 2023
WEIGHTED POLYHEDRAL PRODUCTS AND STEENROD’S PROBLEM TSELEUNG SO …