منابع مشابه
CW - complexes Stephen
The term CW-complex comes from “closure-finite with the weak topology”, where “closure-finite” refers to A3 and “weak topology” refers to A4. A finite complex is a CW-complex with only finitely many cells. Observe that if X is a finite complex, A4 is redundant, since W is the union of the compact sets φα((φ n α) −1W ), and these are closed since X is Hausdorff. If X has cells of dimension n but...
متن کاملProducts of Cw-complexes
We show that Liu's characterization for the product K x L to be a CW-complex is independent of the usual axioms of set theory.
متن کاملExistence of finitely dominated CW - complexes with G 1 ( X ) = π 1 ( X ) and non - vanishing finiteness obstruction by Wolfgang Lück and
We show for a finite abelian group G and any element in the image of the Swan homomorphism sw : Z/|G|∗ −→ K̃0(ZG) that it can be realized as the finiteness obstruction of a finitely dominated connected CW -complex X with fundamental group π1(X) = G such that π1(X) is equal to the subgroup G1(X) defined by Gottlieb. This is motivated by the observation that any H-space X satisfies π1(X) = G1(X) a...
متن کاملOn the Second Homotopy Module of Two-dimensional Cw Complexes
Let A' be a connected 2-dimensional CW complex. This note reproves from a very simple point of view two classical theorems of H. Hopf relating the homology of the fundamental group it = irx(X) of X and the Hurewicz map on ir2(X). This point of view also allows the dual theorems to be proved. If w is a finite group, a new interpretation is given for tf,(7r; Z) (/' = 2, 3) in terms of v2(X).
متن کاملA Topological Study Of Stochastic Dynamics On CW Complexes
A TOPOLOGICAL STUDY OF STOCHASTIC DYNAMICSON CW COMPLEXES byMICHAEL J. CATANZAROMAY 2016 Co-Advisor: Dr. John R. KleinCo-Advisor: Dr. Vladimir Y. ChernyakMajor:MathematicsDegree:Doctor of Philosophy In this dissertation, we consider stochastic motion of subcomplexes of a CW complex,and explore the implications on the underlying space. The random process on th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1982
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1982-0637183-3