94 citations · 249 across the 17 of their papers we have counts for
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math.AT2014★ 17 cited
Zero-pointed manifolds
David Ayala, John Francis
We formulate a theory of pointed manifolds, accommodating both embeddings and Pontryagin-Thom collapse maps, so as to present a common generalization of Poincaré duality in topolog…
math.AT2014★ 11 cited
Factorization homology of stratified spaces
David Ayala, John Francis, Hiro Lee Tanaka
This work forms a foundational study of factorization homology, or topological chiral homology, at the generality of stratified spaces with tangential structures. Examples of such…
math.AT2014
Local structures on stratified spaces
David Ayala, John Francis, Hiro Lee Tanaka
We develop a theory of conically smooth stratified spaces and their smooth moduli, including a notion of classifying maps for tangential structures. We characterize continuous spac…