Genus sets and SNT sets of certain connective covering spaces

• Autorzy: Huale Huang , Joseph Roitberg
• Języki publikacji: EN

Abstrakty

EN

We study the genus and SNT sets of connective covering spaces of familiar finite CW-complexes, both of rationally elliptic type (e.g. quaternionic projective spaces) and of rationally hyperbolic type (e.g. one-point union of a pair of spheres). In connection with the latter situation, we are led to an independently interesting question in group theory: if f is a homomorphism from Gl(ν,A) to Gl(n,A), ν < n, A = ℤ, resp. $ℤ_p$, does the image of f have infinite, resp. uncountably infinite, index in Gl(n,A)?

Kategorie tematyczne

• 55P15: Classification of homotopy type
• 20G99: None of the above, but in this section
• 55P60: Localization and completion
• 55P62: Rational homotopy theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 195
• Numer: 2
• Strony: 135-153

Daty

wydano

2007

Twórcy

autor

Huale Huang

• IBM Global Services, Morristown, NJ, U.S.A.
• Citigroup, 283 King George Rd., Warren, NJ 07059, U.S.A.

autor

Joseph Roitberg

• Department of Mathematics & Statistics, Hunter College, CUNY, 695 Park Ave., New York, NY 10021, U.S.A.
• Ph.D. Program in Mathematics, The Graduate Center, CUNY, 365 Fifth Ave., New York, NY 10036, U.S.A.

Identyfikatory

DOI

10.4064/fm195-2-3