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Second Countable Space

A selection of articles related to second countable space.

Rituals, invocations and sacred space
"There is a single main definition of the object of all magickal Ritual. It is the uniting of the Microcosm with the Macrocosm. The Supreme and Complete Ritual is therefore the Invocation of the Holy Guardian Angel; or, in the language of the Mysticism,...
Paganism & Wicca >> Ritual
Magick >> Rituals
Hulse, David Allen
>From an early age, David Allen Hulse has made a diligent study of the alphabets of the ancient world. Even as a child, David possessed a great affinity for the alphabets of Egypt, Phoenicia, and Greece. In college, a reading of MacGregor Mathers' Kabbalah...
Real Interviews >> Authors
Hulse, David Allen
From an early age, David Allen Hulse has made a diligent study of the alphabets of the ancient world. Even as a child, David possessed a great affinity for the alphabets of Egypt, Phoenicia, and Greece. In college, a reading of MacGregor Mathers' Kabbalah...
Real Interviews >> Authors
Sacred Space: Circles and Altars
The magic circle or sphere is a well-defined, non-physical temple. There are two main types -- those used by ceremonial magicians are designed to protect the magician from the forces he or she raises. Our circles are used to create sacred space to commune...
Paganism & Wicca >> Ritual
Survivalists' Guide for the New Millennium: Chapter 4
THE TRANSFORMATION OF CATERPILLAR TO BUTTERFLY It is not difficult to see that the whole Agenda behind owning a bigger home, a newer car and more land is one of ego. This is an orientation toward the building of an empire of material wealth, in a vain...
Philosophy >> Survivalists Guide for the New Millennium
Hyperspace Reality
Despite the fact that the 'new' physics, a godchild of the Einsteinian revolution has taught us that the Universe we perceive is a mere shadow of a vastly more unpredictable one, most of us still view the world in a distinctly materialistic way. A world where...
Modern Science >> New Physics

Second Countable Space is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Second Countable Space books and related discussion.

Suggested Pdf Resources

8. Second Countable Spaces Definition 8.1. A space is called
A space is called second countable (or completely separable) if it has a Every subspace X of a second countable space S is second countable. Proof.
Domination by second countable spaces
Domination by Polish Spaces. Domination by Second Countable Spaces. Open questions.
Domination by second countable spaces and Lindelöf Σ-property
Reverse Mathematics of Compact Countable Second-Countable
3 COUNTABILITY AND CONNECTEDNESS AXIOMS
countable neighbourhood basis at x. Any metrisable space is first countable.

Suggested Web Resources

Second-countable space - Wikipedia, the free encyclopedia
In topology, a second-countable space is a topological space satisfying the second axiom of countability.
Second Countable Space
Let (X,T) be a topological space, then X is said to be second countable space, if T has a countable bases.
Second Countable Space -- from Wolfram MathWorld
A second countable space is a topological space whose topology is second countable. SEE ALSO: Second Countable Topology, Topological Space.
PlanetMath: every second countable space is separable
Theorem 1 [1] Every second countable space is separable. Proof. Let $X$ be a second countable space and let $\cal B$ be a countable base.