2,441 reputation
733
bio website mat.ulaval.ca/hchapdelaine/…
location Quebec city
age 37
visits member for 4 years, 3 months
seen 22 hours ago

Mar
19
awarded  Excavator
Mar
19
revised A direct proof that minimal primes are associated
added 75 characters in body
Feb
19
revised Non-trivial topological line bundles over cartesian product of manifolds not coming from a pullback
edited body
Feb
14
awarded  Necromancer
Feb
7
awarded  Nice Question
Jan
29
accepted Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
Jan
29
comment Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
Dear Jarek, many thanks for the nice answer.
Jan
27
comment Properties of “incomplete finite simplicial complexes”
Hi Skupers, concerning your approach to Q1, it seems intuitively correct but nevertheless feel shaky with this kind of argument. It seems to me that whenever you remove an open face, you create a "hole" inside $|K'|$ which you can enlarge and push on the sides of the remaining complete simplices of |K'|. But again I feel a bit uncomfortable about the rigour of this kind of argument
Jan
26
comment Properties of “incomplete finite simplicial complexes”
Sure, for example take the barycentric subdivision of a 2 simplex (a triangle plus its inside). Then remove the barycenter which is an open 0-simplex. Then this incomplete finite simplicial complex deform retracts to a triangle (a 3-cycle of 1-simplices).
Jan
26
revised Properties of “incomplete finite simplicial complexes”
added 519 characters in body
Jan
26
asked Properties of “incomplete finite simplicial complexes”
Jan
14
awarded  Nice Question
Jan
12
comment conic structure at infinity for non-closed unbounded semi-algebraic sets
A proof of this result follows from Corollary 9.3.7 of the book "real algebraic geometry" of Bochnak, Coste and Roy.
Jan
12
accepted Homology of a finite disjoint union of open cells
Jan
12
comment Homology of a finite disjoint union of open cells
Ok, I got it. As a special case of your construction, you may take the open ends sine curve which you glue to the x axis along the intersection points.
Jan
12
revised Homology of a finite disjoint union of open cells
added 148 characters in body
Jan
11
comment Homology of a finite disjoint union of open cells
Eric, now that I'm thinking about your construction, why do you get a finite disjoint union of open cells?
Jan
11
comment Homology of a finite disjoint union of open cells
Thanks Eric for the instructive exemple. I can now better appreciate the constraints that come with the definition of a (finite) CW complex where the gluing does not affect the open cells but only their boundaries.
Jan
11
asked Homology of a finite disjoint union of open cells
Jan
5
revised conic structure at infinity for non-closed unbounded semi-algebraic sets
deleted 10 characters in body; edited title