Fundamental groups of topological $R$-modules
نویسندگان
چکیده
منابع مشابه
Commutativeness of Fundamental Groups of Topological Groups
The notation and terminology used in this paper have been introduced in the following articles: [3], [19], [9], [10], [16], [20], [4], [5], [22], [23], [21], [1], [6], [17], [18], [2], [25], [26], [24], [15], [12], [13], [8], [14], and [7]. Let A be a non empty set, x be an element, and a be an element of A. Let us observe that (A 7−→ x)(a) reduces to x. Let A, B be non empty topological spaces...
متن کاملOn the Fundamental Groups of Products of Topological Spaces
The following proposition is true (1) Let G, H be non empty groupoids and x be an element of ∏ 〈G,H〉. Then there exists an element g of G and there exists an element h of H such that x = 〈g, h〉. Let G1, G2, H1, H2 be non empty groupoids, let f be a map from G1 into H1, and let g be a map from G2 into H2. The functor Gr2Iso(f, g) yields a map from ∏ 〈G1, G2〉 into ∏ 〈H1,H2〉 and is defined by the ...
متن کاملCoverings and crossed modules of topological groups with operations
It is a well-known result of the covering groups that a subgroup G of the fundamental group at the identity of a semilocally simply connected topological group determines a covering morphism of topological groups with characteristic group G . In this paper we generalize this result to a large class of algebraic objects called topological groups with operations, including topological groups. We ...
متن کاملL-FUZZIFYING TOPOLOGICAL GROUPS
The main purpose of this paper is to introduce a concept of$L$-fuzzifying topological groups (here $L$ is a completelydistributive lattice) and discuss some of their basic properties andthe structures. We prove that its corresponding $L$-fuzzifyingneighborhood structure is translation invariant. A characterizationof such topological groups in terms of the corresponding$L$-fuzzifying neighborhoo...
متن کاملTopological 4-manifolds with Geometrically 2-dimensional Fundamental Groups
Closed oriented 4-manifolds with the same geometrically 2-dimensional fundamental group (satisfying certain properties) are classified up to s-cobordism by their w2-type, equivariant intersection form and the Kirby-Siebenmann invariant. As an application, we obtain a complete homeomorphism classification of closed oriented 4-manifolds with solvable Baumslag-Solitar fundamental groups, including...
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: Transactions of the American Mathematical Society
سال: 1982
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1982-0645328-9