Five different proofs of extraresolvability of countable totally bounded groups

Extensions of totally bounded pseudometrics

Totally Bounded Metric Spaces

The papers [19], [9], [1], [4], [20], [2], [18], [13], [5], [8], [14], [21], [7], [15], [12], [11], [17], [6], [10], [16], and [3] provide the terminology and notation for this paper. For simplicity we follow the rules: M is a metric space, c, g are elements of the carrier of M , F is a family of subsets of the carrier of M , A, B are subsets of the carrier of M , f is a function, n, m, p, k ar...

FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES

In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.

Automorphism groups of countable structures

Suppose M is a countable first-order structure with a ‘rich’ automorphism group Aut(M). We will study Aut(M) both as a group and as a topological group, where the topology is that of pointwise convergence. This involves a mixture of model theory, group theory, combinatorics, descriptive set theory and topological dynamics. Here, ‘rich’ is undefined and depends on the context, but examples which...

investigation of gassing behavior, electric and dielectric properties of different insulating fluids.

ترانسفورماتورهای قدرت از اجزای اصلی شبکه تامین انرژی الکتریکی می باشند که عملکرد قابل اطمینان ترانسفورماتورها یکی از فاکتورهای مهم و تعیین کننده در تامین انرژی الکتریکی محسوب می شود. در نتیجه بررسی و مانیتور عملکرد ترانسفورماتورها در شبکه و همچنین عیب یابی این ترانسفورماتورها غیرقابل اجتناب و ضروری می باشد. به طور کلی عایق های مایع در صنعت فشار قوی کاربردهای متفاوتی دارند که مهمترین وظیفه آنها...