moore space
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Author(s):  
Xin Fu ◽  
Tseleung So ◽  
Jongbaek Song

Let X be a 4-dimensional toric orbifold. If $H^{3}(X)$ has a non-trivial odd primary torsion, then we show that X is homotopy equivalent to the wedge of a Moore space and a CW-complex. As a corollary, given two 4-dimensional toric orbifolds having no 2-torsion in the cohomology, we prove that they have the same homotopy type if and only their integral cohomology rings are isomorphic.



2017 ◽  
Vol 16 ◽  
pp. 33-37 ◽  
Author(s):  
Jing Zhang ◽  
Guoping Ci ◽  
Yajie Cao ◽  
Ning Wang ◽  
Huiping Tian


2011 ◽  
Vol 54 (2) ◽  
pp. 193-206
Author(s):  
Harold Bennett ◽  
David Lutzer

AbstractIn this paper we study domains, Scott domains, and the existence of measurements. We use a space created by D. K. Burke to show that there is a Scott domain P for which max(P) is a Gδ-subset of P and yet no measurement μ on P has ker(μ) = max(P). We also correct a mistake in the literature asserting that [0, ω1) is a space of this type. We show that if P is a Scott domain and X ⊆ max(P) is a Gδ-subset of P, then X has a Gδ-diagonal and is weakly developable. We show that if X ⊆ max(P) is a Gδ-subset of P, where P is a domain but perhaps not a Scott domain, then X is domain-representable, first-countable, and is the union of dense, completely metrizable subspaces. We also show that there is a domain P such that max(P) is the usual space of countable ordinals and is a Gδ-subset of P in the Scott topology. Finally we show that the kernel of a measurement on a Scott domain can consistently be a normal, separable, non-metrizable Moore space.



2010 ◽  
Vol 83 (1) ◽  
pp. 1-10
Author(s):  
DAVID L. FEARNLEY ◽  
LAWRENCE FEARNLEY

AbstractWe demonstrate a construction that will densely embed a Moore space into a Moore space with the Baire property when this is possible. We also show how this technique generates a new ‘if and only if’ condition for determining when Moore spaces can be densely embedded in Moore spaces with the Baire property, and briefly discuss how this condition can can be used to generate new proofs that certain Moore spaces cannot be densely embedded in Moore spaces with the Baire property.



2009 ◽  
Vol 156 (7) ◽  
pp. 1361-1370
Author(s):  
Alan Dow
Keyword(s):  


2008 ◽  
Vol 8 (2) ◽  
pp. 945-951 ◽  
Author(s):  
Jelena Grbić ◽  
Paul Selick ◽  
Jie Wu
Keyword(s):  


Author(s):  
Brayton Gray ◽  
Stephen Theriault
Keyword(s):  


2004 ◽  
Vol 58 (1) ◽  
pp. 203-209 ◽  
Author(s):  
Juno MUKAI ◽  
Arkadiy SKOPENKOV


2003 ◽  
Vol 74 (2) ◽  
pp. 165-172
Author(s):  
Semra Öztürk Kaptanoglu

AbstractLet G be a finite group of even order, k be a field of characteristic 2, and M be a finitely generated kG-module. If M is realized by a compact G-Moore space X, then the Betti numbers of the fixed point set XCn and the multiplicities of indecomposable summands of M considered as a kCn-module are related via a localization theorem in equivariant cohomology, where Cn is a cyclic subgroup of G of order n. Explicit formulas are given for n = 2 and n = 4.



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