Results 1 to 10 of about 564,721 (317)
On the Cardinality of a Topological Space [PDF]
In recent papers, B. Šapirovskiĭ, R. Pol, and R. E. Hodel have used a transfinite construction technique of Šapirovskiĭ to provide a unified treatment of fundamental inequalities in the theory of cardinal functions. Šapirovskiĭ’s technique is used in this paper to establish an inequality whose countable version states that the continuum is an upper ...
openaire +1 more source
COMPACT-F AND LINDEL o F- C SPACES
In this paper, we introduce and study compact-F and Lindelof -C Spaces .Compact-F space is a topological space in which every compact subset is finite, Lindelof-C Space is a topological space in which every Lindelof subsets is countable several ...
Hadi J. Mustafa
doaj +1 more source
On the Homomorphisms of the Lie Groups and
We first construct all the homomorphisms from the Heisenberg group to the 3-sphere. Also, defining a topology on these homomorphisms, we regard the set of these homomorphisms as a topological space.
Fatma Özdemir, Hasan Özekes
doaj +1 more source
Topological constructions of tensor fields on moduli spaces [PDF]
We show how topology of a space may lead to tensor fields on (the smooth part of) moduli spaces of the fundamental group.
arxiv
Products of topological spaces
AbstractThe main purpose of this paper is to unify a number of theorems in topology whose conclusions state that a product of topological spaces has a compactness-like property.Three such theorems are (1) the Tychonoff theorem: Every product of compact spaces is compact, (2) the theorem of C.T. Scarborough and A.H.
openaire +2 more sources
A note on separation axioms and their application in the theory of a locally connected topological space [PDF]
J. W. T. Youngs
openalex +1 more source
The purpose of this paper is to introduce a new structure called primal. Primal is the dual structure of grill. Like ideal, the dual of filter, this new structure also generates a new topology named primal topology. We introduce a new operator using primal, which satisfies Kuratowski closure axioms.
Santanu Acharjee+2 more
openaire +2 more sources
A Topological Approach to Extreme Points in Function Spaces [PDF]
John Cantwell
openalex +2 more sources