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math.AT2015
Loop homological invariants associated to real projective spaces
Man Gao, Colin Tan, Jie Wu
Let A be a based subspace of Y. Under the assumptions that Y is path-connected and that the reduced diagonal map of A induces the zero map in all mod 2 reduced homology groups, we…
math.AT2013
Simplicial Monoid Actions and The Associated Universal Simplicial Monoid Construction
Man Gao, Jie Wu
The reduced universal monoid on the action category associated to a pointed simplicial M-set has appeared in the guise of various simplicial monoid and group constructions. These i…
math.AT2013★ 1 cited
Homology Decompositions of the Loops on 1-Stunted Borel Constructions of C_2-Actions
Man Gao, Jie Wu
Carlsson's construction is a simplicial group whose geometric realization is the loop space of the 1-stunted reduced Borel construction. Our main results are: i) Given a pointed si…