॥ अथर्वणस्पृशस् ॥ - ॥ atharvaṇaspṛśas ॥ -1.

॥ अथर्वणस्पृशस् ॥ ॥ atharvaṇaspṛśas ॥ -1.
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'atharvaṇa-spaces',
नारायण नारायण ॥
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वाच्यार्थ, लक्ष्यार्थ, यथार्थ और परमार्थ
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[ vācyārtha, lakṣyārtha, yathārtha aura paramārtha ]
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Personality, individuality, indivisibility and spirituality.
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एकम् सत् विप्राः बहुधा वदन्ति
ekam sat viprāḥ bahudhā vadanti.
Is the dictum ( दिष्टम् / diṣṭam ) that I have followed in defining .
The same Reality has been expressed in many ways in ॥ अथर्वण atharvaṇas ॥
of various entitities the Supreme Reality manifests through. Each one is necessary and sufficient in itself in treating the subject-matter of these texts.
The core- ॥ अथर्वण atharvaṇas ॥ texts are  Brahman
गणेश, gaṇeśa,
शिव, śiva,
देवी, devī,
सूर्य, sūrya,
नारायण, nārāyaṇa,
These 5 entities that are the foundation of धर्म, dharma, सनातन-धर्म, sanātana-dharma, are the way to spirituality. These 5 names and forms of spirituality are but the manifest links ( लिंग / liṃga ) that become the way to that nameless and formless Reality which is otherwise termed as 'ब्रह्म / brahma / Brahman'.
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Only those aspirants who are of pure mind and intellect, and have become mature enough in विवेक / viveka (discrimination) and वैराग्य / vairāgya (dispassion), are the (अधिकारी / adhikārī ) deserving and can follow the discipline of the search into this Reality.
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Therefore such rare ones could directly gain spiritual wisdom by just going through ॥ अथर्वण atharvaṇas ॥, while those who are not so mature, but have a scholarly inclination only can attain the same if they don't doubt vedika scriptures and enquire without prejudice that usually govern the minds of immature, impure but possess the urge also though not a strong enough.
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Let us recall the topological 'Spaces' with reference to 'equivalence-relation' and 'equivalence-class'.
We know how an 'equivalnce-relation' between two elements of a set is defined .
For example if for every element namely a, b, c etc. in a Set, there exists a function / relation such that :
a~a, a~b => b~a, and a~b, b~c => a~c,
Then this function is called an 'equivalence-relation'.
One example of this is,
Let A be the set of all 'cousins'.
This Set A could further have a sub-set say B, where-in all the elements fulfill the three conditions enumerated as above.
We can see that if A is such a set of all cousins, there may be some who are not cousins of some others. Yet, there could be number of cousins who indeed form a set where the above 3 conditions are satisfied.
Namely,
a~a, a~b => b~a, and a~b, b~c => a~c,
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This simple example illustrates how we could define and examine if there are such Sets [॥अथर्वणस्पृशस्॥/॥atharvaṇaspṛśas॥]
which truly and strictly follow the above conditions.
Though I have already worked-out how to proceed and present this research in the subject mater of what I call ' वैदिक गणित / vaidika gaṇita’ 'Vedika Mathematics' this study on my part is presently at an introductory stage only, and it will definitely be appreciated if the scholars of Veda and This-day Mathematics could go through this and examine its scope, applicability and validity of this study.
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The First and the most prominent example that could elaborate my point is the 'वेदान्त-दर्शन / vedānta-darśana /  ब्रह्म-सूत्र / brahma-sūtra' of 'बादरायण - व्यास / bādarāyaṇa -vyāsa'.
The next is various 'अथर्वशीर्ष / atharvaśīrṣa' that are chanted as vedikahymns in praise of the same Unique Principle which has been given different names and forms such as :
गणेश, gaṇeśa,
शिव, śiva,
देवी, devī,
सूर्य, sūrya,
नारायण, nārāyaṇa,
respectively.

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Transactions of the blavatsky lodge 
Will help us understand how 'infinite [॥अथर्वणस्पृशस्॥/॥atharvaṇaspṛśas॥] ' exist and give rise to infinite individual 'souls'.
Again this One Space namely comprising of 'Personality', 'indivisibility' and 'individuality' could be treated a a single 'principle' that is enough and sufficient to understand the whole 'matrices'.
I had gone through this work in its full text during 1986-7, when I was also a student of M.Sc. in Mathematics. And I often used to 'relate' whatever 'came to me' with the subject matter of my study in my academic course.
I didn't know then that one day I shall (after some 25 years) I shall come across this
 '[॥अथर्वणस्पृशस्॥/॥atharvaṇaspṛśas॥]'.
And now when I again went through this link, I see the importance of the words in the book which in a way 'assemble' the 'wisdom' at the peripheral level only and then somehow help us realize what went wrong during the ascent of the 3 so-called 'religions' which were but responsible for and aimed at the destruction of the whole humanity.
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