Obstruction theory for CW-complexes

1977 ◽  
pp. 242-292 ◽  
Author(s):  
Hans J. Baues
Keyword(s):  
Obstruction Theory ◽  
Cw Complexes

scholarly journals Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane

2021 ◽  
pp. 104255
Author(s):  
Rodrigo A. von Flach ◽  
Marcos Jardim ◽  
Valeriano Lanza
Keyword(s):  
Projective Plane ◽  
Moduli Spaces ◽  
Obstruction Theory

scholarly journals Obstruction theory in algebraic categories, II

1972 ◽  
Vol 2 (4) ◽  
pp. 315-340 ◽  
Author(s):  
G. Orzech
Keyword(s):  
Obstruction Theory

scholarly journals Posets, Regular CW Complexes and Bruhat Order

1984 ◽  
Vol 5 (1) ◽  
pp. 7-16 ◽  
Author(s):  
A. Björner
Keyword(s):  
Bruhat Order ◽  
Cw Complexes

scholarly journals The integral cohomology of the Hilbert scheme of points on a surface

2020 ◽  
Vol 8 ◽  
Author(s):  
Burt Totaro
Keyword(s):  
Natural Number ◽  
Hilbert Scheme ◽  
Obstruction Theory ◽  
Projective Surface ◽  
Hilbert Schemes ◽  
Complex Projective Surface ◽  
Smooth Complex ◽  
Hilbert Scheme Of Points ◽  
Complex Projective ◽  
Torsion Free

Abstract We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme $X^{[n]}$ has torsion-free cohomology for every natural number n. This extends earlier work by Markman on the case of Poisson surfaces. The proof uses Gholampour-Thomas’s reduced obstruction theory for nested Hilbert schemes of surfaces.

Notes on the Distributed Computation of Merge Trees on CW-Complexes

2017 ◽  
pp. 333-348 ◽  
Author(s):  
Aaditya G. Landge ◽  
Peer-Timo Bremer ◽  
Attila Gyulassy ◽  
Valerio Pascucci
Keyword(s):  
Distributed Computation ◽  
Cw Complexes

scholarly journals Spaces which Invert Weak Homotopy Equivalences

2018 ◽  
Vol 62 (2) ◽  
pp. 553-558
Author(s):  
Jonathan Ariel Barmak
Keyword(s):  
Empty Space ◽  
Weak Equivalence ◽  
Homotopy Equivalence ◽  
Homotopy Classes ◽  
Cw Complex ◽  
Cw Complexes ◽  
Weak Homotopy ◽  
Weak Homotopy Equivalence

AbstractIt is well known that if X is a CW-complex, then for every weak homotopy equivalence f : A → B, the map f* : [X, A] → [X, B] induced in homotopy classes is a bijection. In fact, up to homotopy equivalence, only CW-complexes have that property. Now, for which spaces X is f* : [B, X] → [A, X] a bijection for every weak equivalence f? This question was considered by J. Strom and T. Goodwillie. In this note we prove that a non-empty space inverts weak equivalences if and only if it is contractible.

scholarly journals Obstruction theory on 8-manifolds

2008 ◽  
Vol 127 (2) ◽  
pp. 167-186 ◽  
Author(s):  
Martin Čadek ◽  
Michael Crabb ◽  
Jiří Vanžura
Keyword(s):  
Obstruction Theory

scholarly journals One-point reductions of finite spaces,h–regular CW–complexes and collapsibility

2008 ◽  
Vol 8 (3) ◽  
pp. 1763-1780 ◽  
Author(s):  
Jonathan Barmak ◽  
Elias Minian
Keyword(s):  
Cw Complexes ◽  
Finite Spaces
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